TEKS A.7A: Graphing Quadratics/Key Attributes

Two characteristics of quadratic function p are given.

1) The axis of symmetry of the graph of p is x = -3.

2) Function p has exactly one zero.

Based on this information, which graph could represent p?

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Quadratic function h can be used to model the height in feet of a rocket from the ground t seconds after it was launched. The graph of the function is shown.

What is the maximum value of the graph of the function?

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The graph of quadratic function k is shown on the grid.

Which statements are best supported by the graph of k?

1. The x-intercept is located at (-3, 0).

2. The coordinates of the y-intercept are (0, 9).

3. The axis of symmetry is x = -3

• 1 and 2 only

• 1 and 3 only

• 2 and 3 only

• 1, 2, and 3

Which graph best represents a quadratic function that has only one zero?

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The graph of a quadratic function is shown on the grid.

Which coordinates best represent the vertex of the graph?

• (2.4, 0)

• (0, -1)

• (-0.4, 0)

• (1, -2)

The graph of a quadratic function f is shown on the grid.

What is the y-intercept of the graph of f?

The graph of a quadratic function is shown on the grid.

Which equation best represents the axis of symmetry?

• y = 6

• x = 2

• y = 4

• x = 0

The graph of quadratic function g is shown on the grid. The coordinates of the x-intercepts, the y-intercept, and the vertex are integers.

What is the maximum value of g?

• 3

• 2 and 9