Question

Drag the appropriate answer from the

choices given into the box provided.
A function is graphed on the
coordinate grid. The output for the function when the input is -1 is?

Answer 1

This graph shows a quadratic curve with roots 0 and -4

The polynomial is therefore

x² -x(α+β) + αβ

x² -x(0-4) + 0(-4)

x² +4x +0

x² + 4x

But it's an n-shaped curve, meaning a is negative

Multiply through by -1

-x² - 4x

y = -x² - 4x

So when the input value x = -1

y = -(-1)² + 4(-1)

y = -(1) - 4

y = -1 - 4

y = -3

Check the graph to confirm