Question

7 convert the quadratic equation below from vertex form to standard form. which equation is equivalent? y = 2(x + 5)^2+11 a y = 2x^2 + 10x + 40 b y = 2x^2 + 20x + 10 c y = 2x^2 + 50x + 61 d y = 2x^2 + 20x + 61

Explanation:

Step1: Expand $(x + 5)^2$

$(x + 5)^2=x^2+10x + 25$

Step2: Multiply by 2

$2(x^2+10x + 25)=2x^2+20x + 50$

Step3: Add 11

$y=2x^2+20x + 50+11=2x^2+20x + 61$

Answer:

D. $y = 2x^2+20x + 61$