Graphs

Find the center and radius of the circle. Write the standard form of the equation.

Find the center and radius of the circle. Write the standard form of the equation.

Write the standard form of the equation and the general form of the equation of each circle of radius $r$ and center $\left(h,k\right)$.

Graph each circle.

$r=2; (h,k)=(0,0)$

Write the standard form of the equation and the general form of the equation of each circle of radius $r$ and center $\left(h,k\right)$.

Graph each circle.

$r=3; (h,k)=(0,0)$

Write the standard form of the equation and the general form of the equation of each circle of radius $r$ and center $\left(h,k\right)$.

Graph each circle.

$r=2; (h,k)=(0,2)$

Write the standard form of the equation and the general form of the equation of each circle of radius $r$ and center $\left(h,k\right)$.

Graph each circle.

$r=3; (h,k)=(1,0)$

Write the standard form of the equation and the general form of the equation of each circle of radius $r$ and center $\left(h,k\right)$.

Graph each circle.

$r=5; (h,k)=(4,-3)$

Write the standard form of the equation and the general form of the equation of each circle of radius $r$ and center $\left(h,k\right)$.

Graph each circle.

$r=4; (h,k)=(2,-3)$

Write the standard form of the equation and the general form of the equation of each circle of radius $r$ and center $\left(h,k\right)$.

Graph each circle.

$r=4; (h,k)=(-2,1)$

Write the standard form of the equation and the general form of the equation of each circle of radius $r$r and center $\left(h,k\right)$.

Graph each circle.

$r=7; (h,k)=(-5,-2)$

Write the standard form of the equation and the general form of the equation of each circle of radius $r$ and center $\left(h,k\right)$.

Graph each circle.

$r=\frac{1}{2}, (h,k)=\left(\frac{1}{2},0\right)$

Write the standard form of the equation and the general form of the equation of each circle of radius $r$ and center $\left(h,k\right)$.

Graph each circle.

$r=\frac{1}{2}, (h,k)=\left(0,-\frac{1}{2}\right)$

In problem, (a) find the center $\left(h,k\right)$ and radius $r$of each circle; (b) graph each circle; (c) find the intercepts, if any.

$x^2+y^2=4$

In Problems, (a) find the center $\left(h,k\right)$ and radius r of each circle; (b) graph each circle; (c) find the intercepts, if any.

$x^2+(y-1{)}^2=1$

In Problem, (a) find the center $\left(h,k\right)$ and radius $r$ of each circle; (b) graph each circle; (c) find the intercepts, if any.

$2(x-3{)}^2+2y^2=8$

In Problem, (a) find the center $\left(h,k\right)$ and radius $r$ of each circle; (b) graph each circle; (c) find the intercepts, if any.

$3(x+1{)}^2+3(y-1{)}^2=6$

In Problem, (a) find the center $\left(h,k\right)$ and radius r of each circle; (b) graph each circle; (c) find the intercepts, if any.

$x^2+y^2-2x-4y-4=0$

In Problem, (a) find the center $\left(h,k\right)$ and radius $r$ of each circle; (b) graph each circle; (c) find the intercepts, if any.

$x^2+y^2+4x+2y-20=0$

In Problem, (a) find the center $(h,k)$ and radius $r$ of each circle; (b) graph each circle; (c) find the intercepts, if any.

$x^2+y^2+4x-4y-1=0$

In Problem, (a) find the center $\left(h,k\right)$ and radius $r$ of each circle; (b) graph each circle; (c) find the intercepts, if any.

$x^2+y^2-6x+2y+9=0$

In Problem, (a) find the center $\left(h,k\right)$ and radius $r$ of each circle; (b) graph each circle; (c) find the intercepts, if any.

$x^2+y^2-x+2y+1=0$

In Problem, (a) find the center $\left(h,k\right)$ and radius $r$ of each circle; (b) graph each circle; (c) find the intercepts, if any.

$x^2+y^2+x+y-\frac{1}{2}=0$

 Find (a)  the center (h, k) and radius r of each circle; (b) graph each circle; (c) find the intercepts if any of

$2x^2+2y^2-12x+8y-24=0$

Find (a)  the center (h, k) and radius r of each circle; (b) graph each circle; (c) find the intercepts if any of the equation $2x^2+2y^2+8x+7=0$

Find (a)  the center (h, k) and radius r of each circle; (b) graph each circle; (c) find the intercepts if any of the equation $2x^2+8x+2y^2=0$

Find (a)  the center (h, k) and radius r of each circle; (b) graph each circle; (c) find the intercepts if any of the equation $3x^2+3y^2-12y=0$

Find the standard form of the equation of each circle.

Center at the origin and containing the point (-2, 3)

Find the standard form of the equation of each circle.

Center (1, 0) and containing the point 

( -3, 2)

Find the standard form of the equation of each circle.

Center (2, 3) and tangent to the x-axis

Find the standard form of the equation of each circle.

Center (-3, 1) and tangent to the y-axis

Find the standard form of the equation of each circle.

Circle with endpoints of a diameter at (1, 4) and (-3, 2)

Find the standard form of the equation of each circle.

Circle with endpoints of a diameter at (4,3) and (0,1)

Find the standard form of the equation of each circle.

Center (-1, 3) and tangent to the line y = 2

Find the standard form of the equation of each circle.

Center (4,-2) and tangent to the line x = 1

match each graph with the correct equation.$$\begin{gathered} \left(a\right) {(x-3)}^2+{(y+3)}^2= 9, \left(b\right) {(x+1)}^2+{(y-2)}^2=4 , \\ \left(c\right) {(x-1)}^2+{(y+2)}^2=4 , \left(d\right) {(x+3)}^2+{(y-3)}^2=9 \end{gathered}$$

match each graph with the correct equation.$$\begin{gathered} \left(a\right) {(x-3)}^2+{(y+3)}^2= 9, \left(b\right) {(x+1)}^2+{(y-2)}^2=4 , \\ \left(c\right) {(x-1)}^2+{(y+2)}^2=4 , \left(d\right) {(x+3)}^2+{(y-3)}^2=9 \end{gathered}$$

match each graph with correct equation

$$\begin{gathered} \left(a\right) {(x-3)}^2+{(y+3)}^2= 9, \left(b\right) {(x+1)}^2+{(y-2)}^2=4 , \\ \left(c\right) {(x-1)}^2+{(y+2)}^2=4 , \left(d\right) {(x+3)}^2+{(y-3)}^2=9 \end{gathered}$$

match each graph with correct equation

$$\begin{gathered} \left(a\right) {(x-3)}^2+{(y+3)}^2= 9, \left(b\right) {(x+1)}^2+{(y-2)}^2=4 , \\ \left(c\right) {(x-1)}^2+{(y+2)}^2=4 , \left(d\right) {(x+3)}^2+{(y-3)}^2=9 \end{gathered}$$

Suppose the points $\left(-2,-3\right)$ and $\left(4,5\right)$ are the endpoints of a line segment.

(a) Find the distance between the two points.

(b) Find the midpoint of the line segment connecting the two points.

(a) Find the distance between the two points.

(b) Find the midpoint of the line segment connecting the

two points.

Graph the  equation by hand by plotting

points. Use a graphing utility to approximate the intercepts and label them on graph.

$2x-7y=21$

Graph the equation by hand by plotting

points. Use a graphing utility to approximate the intercepts and label them on the graph .

label them on the graph. 

$y=x^2-5$

Use a graphing utility to approximate the real solution of equation rounded to two decimal place . All solution lie between $-10$ and $10$.

Equation is $2x^3-x^2-2x+1=0$.

Use a graphing utility to approximate the real solution of the equation rounded to two decimal places .All solution lie between $-10$and $10$.

Equation is $x^4-5x^2-8=0$

Use a graphing utility to approximate the real solution of the equation rounded to two decimal places.All the solution lie between $-10$ and $10$.

Equation is $-x^3+7x-2=x^2+3x-3$.

Use $P_1=\left(-1,3\right)$ and $P_2=\left(5,-1\right)$.

(a) Find the slope of the line containing $P_{1 }$and $P_2$.

(b) Interpret this slope.

Sketch the graph of $y^2=x$.

List the intercepts and test for symmetry: $x^2+y=9$.

Write the slope–intercept form of the line with the slope $-2$ containing the point $\left(3,-4\right)$.Graph the line.

Write the general form of the circle with center $\left(4,-3\right)$ and radius 5.

Find the center and radius of the circle

$x^2+y^2+4x-2y-4=0$. Graph this circle.