Question

Match each set of features to the corresponding quadratic function:

Function 1 (h(x) = -x² + 6x - 5):
- Maximum value of 5
- Y-intercept at (0, -1)
- X-intercepts at (-1, 0), (4, 0)

Function 2 (g(x) = -x² - 4x - 3):
- Maximum value of -1
- Y-intercept at (0, -2)
- X-intercepts at (3, 0), (1, 0)

Function 3 (f(x) = x² + 2x - 3):
- Minimum value of -4
- Y-intercept at (0, -3)
- X-intercepts at (-3, 0), (1, 0)

A) Function 1 - h(x), Function 2 - g(x), Function 3 - f(x)
B) Function 1 - f(x), Function 2 - g(x), Function 3 - h(x)
C) Function 1 - g(x), Function 2 - h(x), Function 3 - f(x)
D) Function 1 - g(x), Function 2 - f(x), Function 3 - h(x)

Answer 1

The correct answer is Option D: Function 1 - g(x), Function 2 - f(x), Function 3 - h(x).

Step-by-step explanation:

The correct answer is Option D: Function 1 - g(x), Function 2 - f(x), Function 3 - h(x).

To match each set of features to the corresponding quadratic function, we need to analyze the given characteristics for each function.

1. Function 1 has a maximum value of 5, a y-intercept at (0, -1), and x-intercepts at (-1, 0) and (4, 0), which matches the features of g(x).

2. Function 2 has a maximum value of -1, a y-intercept at (0, -2), and x-intercepts at (3, 0) and (1, 0), which matches the features of f(x).

3. Function 3 has a minimum value of -4, a y-intercept at (0, -3), and x-intercepts at (-3, 0) and (1, 0), which matches the features of h(x).