Question

graph y = x² + 2x - 8 and identify the zeros. Then determine which answer choice matches the graph that you drew and correctly identifies the zeros

Answer 1

STEP - BY - STEP EXPLANATION

What to find?

The zeros of the given equatiion.

The graph of the given equation.

Given:

`y=x^2+2x-8`

Step 1

Put y=0

`x^2+2x-8=0`

Step 2

Solving by factorization method;

Replace the coefficient of x, with two numbers whose product gives -8 and whose sum gives 2.

The numbers are: 4 and -2.

`x^2+4x-2x-8=0`

Step 3

Factorize;

`\begin{gathered} x(x+4)-2(x+4)=0 \\ \\ (x+4)(x-2)=0 \end{gathered}`

Step 4

Determine the x- values.

x = -4 and 2

Step 5

Write the quadratic equation in vertex form.

`y=(x+1)^2-9`

The vertex is (-1, -9). This implies the graph opens upward with a vertex (-1, -9).

ANSWER