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Which of the following statements are true about the graph? Check all that apply.

The graph has a minimum.
The graph has a maximum.
The graph has zeros of -4 and 2.
The vertex is located at (-1, -9).
The graph has y-intercepts at (-4, 0) and (2, 0).
The solution of the quadratic function represented by the graph is (-1, -9).
The y-intercept of the graph is (0, -8).

Which of the following statements are true about the graph? Check all that apply. The-example-1
User Dyary
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2 Answers

10 votes

Answer:

The graph has a minimum

The graph has zeros of -4 and 2

The vertex is located at (-1,-9)

The y-intercept of the graph is (0,-8)

Explanation:

Hope this helps!

User Slick
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4.5k points
9 votes

The graph of the quadratic function f(x) = (x + 1)**2 - 9 is a parabola with vertex at (-1, -9), x-intercepts at -4 and 2, and y-intercept at (0, -8). It opens upwards and has a minimum point at (-1, -9).

The given graph is a parabola that opens upwards. Therefore, the vertex is a minimum point. So the statement "The graph has a minimum." is true.

The graph has x-intercepts at -4 and 2. So the statement "The graph has zeros of -4 and 2." is true.

The vertex of the parabola is (-1, -9). So the statements "The vertex is located at (-1, -9)." and "The solution of the quadratic function represented by the graph is (-1, -9)." are true.

The graph intersects the y-axis at (0, -8). So the statement "The y-intercept of the graph is (0, -8)." is true.

The graph does not have a maximum point. So the statement "The graph has a maximum." is false.

The y-intercepts of the parabola are (-4, 0) and (2, 0). So the statement "The graph has y-intercepts at (-4, 0) and (2, 0)." is false.

In conclusion, the following statements are true:

The graph has a minimum.

The graph has zeros of -4 and 2.

The vertex is located at (-1, -9).

The solution of the quadratic function represented by the graph is (-1, -9).

The y-intercept of the graph is (0, -8).

User Katie Astrauskas
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