Question

homework assignment 5.1 quadratic functions
due oct 3 by 11:59pm points 10 submitting an external tool
homework assignment 5.1 quadratic functions
practice score: 0/10 answered: 0/10
question 3
put the equation $y = x^{2}+2x - 8$ into the form $y=(x - h)^{2}+k$:
answer: y =
question help: video written example message instructor

Explanation:

Step1: Complete the square for the $x$ - terms

Given $y = x^{2}+2x - 8$. For the quadratic expression $x^{2}+2x$, we know that $(a + b)^2=a^{2}+2ab + b^{2}$. In $x^{2}+2x$, if $a = x$ and $2ab=2x$, then $b = 1$. So we add and subtract $1$ inside the right - hand side of the equation: $y=(x^{2}+2x + 1)-1 - 8$.

Step2: Rewrite the perfect - square trinomial

The expression $x^{2}+2x + 1$ can be written as $(x + 1)^{2}$. So $y=(x + 1)^{2}-9$.

Answer:

$y=(x + 1)^{2}-9$