Question

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

Short 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 localid="1648620845763" $a=3,h=1\text{and}k=2$.

Step-by-step solution

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 localid="1648620941605" $a=3,h=1\text{and}k=2$.

Step 3. Conclusion.

The required form of the given equation is $y=3{\left(x-1\right)}^2+2$wherelocalid="1648620933578" $a=3,h=1\text{and}k=2$.