Question

rewrite the equation of the quadratic function from vertex form to standard form. y = 4(x + 3)^2 - 5. make sure to use y = in your equation.

Explanation:

Step1: Expand $(x + 3)^2$

$(x+3)^2=x^{2}+6x + 9$

Step2: Multiply by 4

$4(x^{2}+6x + 9)=4x^{2}+24x+36$

Step3: Subtract 5

$y=4x^{2}+24x+36 - 5$
$y=4x^{2}+24x + 31$

Answer:

$y = 4x^{2}+24x+31$