Q56. - Algebra 2

Question

Write the equation in the form $y=a{\left(x-h\right)}^2+k$ when $a=3, h=1 \text{and }k=2$. 

Step-by-Step Solution

Answer

The required form of the equation in $y=a{\left(x-h\right)}^2+k$ is $y=3{\left(x-1\right)}^2+2$ where $a=3, h=1 \text{and }k=2$.

Step 1. Write down the given information.

The given equation is $y=a{\left(x-h\right)}^2+k$.

Step 2. Calculation.

The given equation is converted to $y=a{\left(x-h\right)}^2+k$form as:

$y=3{\left(x-1\right)}^2+2$

Here $a=3, h=1 \text{and }k=2$.

Step 3. Conclusion.

The required form of the given equation is $y=3{\left(x-1\right)}^2+2$ where$a=3, h=1 \text{and }k=2$.