QUADRATIC EQUATIONS STAAR Review Quiz

Two characteristics of quadratic function p are given.

- The axis of symmetry of the graph of p is x = 3 - Function p has exactly one zero.

Based on this information, which graph could represent p?

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CCSS.HSF-IF.C.7A

Given g(x) = x² + 5x - 36, which statement is true?

• The zeroes are 9 and 4, because the factors of g are (x – 9) and (x – 4).

• The zeroes are –9 and 4, because the factors of g are (x + 9) and (x – 4).

• The zeroes are 9 and –4, because the factors of g are (x – 9) and (x + 4).

• The zeroes are –9 and –4, because the factors of g are (x + 9) and (x + 4).

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

What is the solution set for 2x² + 15 = –11x?

• {–5, –1.5}

• {2.5, 3}

• {1.5, 5}

• {–3, –2.5}

Tags

CCSS.HSA-REI.B.4B

The graph of f(x) = x² is reflected over the x-axis and is stretched horizontally to create the graph of function g. Which graph could represent g?

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The graph of quadratic function is shown on the grid.

Which answer choice best represents the intercepts of the graph?

• x-intercept: (8, 0) y-intercept: (0, 4) and (0, –4)

• x-intercept: (0, –4) and (0, 4) y-intercept: (8, 0)

• x-intercept: (0, 8) y-intercept: (4, 0) and (–4, 0)

• x-intercept: (–4, 0) and (4, 0) y-intercept: (0, 8)

Tags

CCSS.HSF-IF.C.7A

Which answer choice describes how the graph of f(x) = x² was transformed to create the

graph of n(x) = (x – 1)²?

• A vertical shift up

• A horizontal shift to the left

• A vertical shift down

• A horizontal shift to the right

A person dives into a pool from its edge to swim to the other side. The table shows the depth in feet of the person from the surface of the water after x seconds. The date can be modeled by a quadratic function.

Which function best models the data?

• d(x) = 0.05x² + 0.74x

• d(x) = 0.05x² + 0.74x + 9.17

• d(x) = 0.26x² – 3.11x

• d(x) = 0.26x² – 3.11x + 1

The solutions to p(x) are x = 5 and x = –5. Which quadratic function could represent p?

• p(x) = x² – 25

• p(x) = x² + 25

• p(x) = x² – 10

• p(x) = x² + 10

Tags

CCSS.HSA.APR.B.3

Which graph best represents h(x) = (x – 1)(x + 3)?

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Tags

CCSS.HSF-IF.C.7A

Quadratic functions p and q are graphed on the grid. The graph of p was transformed to create the graph of q. Which function best represents the graph of q?

• q(x) = – (x – 2)²

• q(x) = – (x + 2)²

• q(x) = – x² – 2

• q(x) = – x² + 2