Question

Write down a quadratic function or absolute value function that undergoes a vertical reflection and has its vertex located at (-5, 5). Which of the following functions satisfies these conditions?

Options:

1.f(x)=−(x+5)²+5
2.f(x)=∣x+5∣−5
3.f(x)=(x+5)²−5
4.f(x)=−∣x+5∣+5

Answer 1

To find a quadratic function or absolute value function that undergoes a vertical reflection and has its vertex located at (-5, 5), the correct function is f(x) = -(x + 5)^2 + 5.

Step-by-step explanation:

To find a quadratic function or absolute value function that undergoes a vertical reflection and has its vertex located at (-5, 5), we need to identify the correct equation form and values.

A quadratic function is of the form y = ax^2 + bx + c, where a, b, and c are constants.

Absolute value function is of the form y = |ax + b| + c, where a, b, and c are constants.

Given the options, the correct function that satisfies the conditions is f(x) = -(x + 5)^2 + 5, which is option 1.