Question

I will give brainliest! Express the equation 1/4(y + 12) = (x - 5)² in the form y= a(x - h)² +k. **This is high-school coordinate geometry by the way.

Answer 1

Answer:

$\Large \boxed{\sf \bf \ \ y=4(x-5)^2-12 \ \ }$

Step-by-step explanation:

Hello, please consider the following.

$\dfrac{1}{4}(y + 12) = (x - 5)^2\\\\\text{We multiply by 4 both sides of the equation.}\\\\y+12=4(x-5)^2\\\\\text{We subtract 12 from both sides of the equation.}\\\\y=4(x-5)^2-12=a(x-h)^2+k$

So a = 4, h = 5 and k = 12

Hope this helps.

Do not hesitate if you need further explanation.

Thank you