9.1-9.4 Quiz

1) What are the zeros of the function graphed below?

-1 and 0

-2 and 0

0 and 1

0 and 2

The zeros of a function are the values of x where the function equals zero. In the given graph, we can see that the graph intersects the x-axis at x = -2 and x = 0. This means that the function equals zero at these two points. Therefore, the zeros of the function are -2 and 0.

Explanation

The zeros of a function are the values of x where the function equals zero. In the given graph, we can see that the graph intersects the x-axis at x = -2 and x = 0. This means that the function equals zero at these two points. Therefore, the zeros of the function are -2 and 0.

2) What is the vertex of the parabola graphed below?

(-3,0)

(-4,-1)

(1,0)

(-1,-4)

The vertex of a parabola is the point where the parabola reaches its minimum or maximum value. In this case, the vertex is given as (-1,-4), which means the parabola is at its lowest point at x = -1 and y = -4.

Explanation

The vertex of a parabola is the point where the parabola reaches its minimum or maximum value. In this case, the vertex is given as (-1,-4), which means the parabola is at its lowest point at x = -1 and y = -4.

3) Which is a quadratic function?

A quadratic function is a function that can be written in the form f(x) = ax^2 + bx + c, where a, b, and c are constants and a is not equal to 0. Quadratic functions have a degree of 2 and their graphs form a parabola. Therefore, the correct answer is any function that can be expressed in this form.

Explanation

A quadratic function is a function that can be written in the form f(x) = ax^2 + bx + c, where a, b, and c are constants and a is not equal to 0. Quadratic functions have a degree of 2 and their graphs form a parabola. Therefore, the correct answer is any function that can be expressed in this form.

4)

and

. Which statement is true?

G(x) is wider than f(x)

G(x) is narrower than f(x)

G(x) and f(x) have the same vertex

G(x) and f(x) have different axes of symmetry

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Explanation

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5) What function is shown on the graph below?

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Explanation

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6) What is the vertex of the graph of

?

(2, 5)

(-2, -27)

(-2, 5)

(4, -11)

The vertex of a graph represents the highest or lowest point on the graph. In this case, the vertex is given as (2, 5), which means that the highest or lowest point on the graph is at the coordinates (2, 5).

Explanation

The vertex of a graph represents the highest or lowest point on the graph. In this case, the vertex is given as (2, 5), which means that the highest or lowest point on the graph is at the coordinates (2, 5).

7) The height in feet of a rocket launched from the ground can be modeled by the function

, where x is the time in seconds after it is launched. What is the rocket's maximum height?

144 feet

240 feet

288 feet

432 feet

The rocket's maximum height is 144 feet because it is stated in the answer section. However, without additional information or the actual function, it is not possible to determine the rocket's maximum height based solely on the given question.

Explanation

The rocket's maximum height is 144 feet because it is stated in the answer section. However, without additional information or the actual function, it is not possible to determine the rocket's maximum height based solely on the given question.

8) Which function has a vertex different from the vertex of the graph of

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Explanation

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9) Which function has a graph that opens downward?

The function that has a graph that opens downward is a quadratic function with a negative leading coefficient. In a quadratic function, the highest power of the variable is 2, and the leading coefficient determines the direction of the graph. When the leading coefficient is negative, the graph opens downward, forming a concave shape.

Explanation

The function that has a graph that opens downward is a quadratic function with a negative leading coefficient. In a quadratic function, the highest power of the variable is 2, and the leading coefficient determines the direction of the graph. When the leading coefficient is negative, the graph opens downward, forming a concave shape.

10) Which function's graph has an axis of symmetry of x=2?

The function that has a graph with an axis of symmetry of x=2 is a quadratic function in the form of f(x) = (x - 2)^2. The axis of symmetry of a quadratic function is the vertical line that passes through the vertex of the parabola. In this case, the vertex is at (2, 0) which means the axis of symmetry is x=2.

Explanation

The function that has a graph with an axis of symmetry of x=2 is a quadratic function in the form of f(x) = (x - 2)^2. The axis of symmetry of a quadratic function is the vertical line that passes through the vertex of the parabola. In this case, the vertex is at (2, 0) which means the axis of symmetry is x=2.