Q7. - Algebra 1

Question

Consider $y=x^2-5x+4$

Graph the function.

Step-by-Step Solution

Answer

The graph of the function $y=x^2-5x+4$ is given below.

Step 1. Define the standard form of the quadratic function.

A quadratic function, which is written in the form, $y=a{x}^2+bx+c$, where, $a\ne 0$ is called the standard form of the quadratic function.

Step 2. Calculate the table of values for the function y = x 2 − 5 x + 4 .

$x$	$y$
$-1$	10
0	4
1	0
2	$-2$
3	$-2$

Step 3. Use the table of values to graph the function y = x 2 − 5 x + 4 .

Graph the ordered pairs from the table and connect them to create a smooth curve.

 

This is the required graph of the function $y=x^2-5x+4$.