Algebra Category Review

Which graph shows a function with a range of all real numbers greater than or equal to -3?

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Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Which statement about the function y = −x² − 2x − 1 is true?

• The range is the set of all real numbers.

• The domain is the set of all real numbers.

• The range is the set of all real numbers less than −1.

• The domain is the set of all real numbers less than −1.

A quadratic function has a vertex of (−2, 5) and passes through the points (−4, −3) and (1, −13). What is the range of the function?

• y ≤ 5

• y < 5

• y ≥ 5

• y > 5

Tags

CCSS.HSF-IF.C.7A

The graph shows the height of a brick in feet after it is dropped off the edge of a building. What is the domain of the function for this situation?

• 0 ≤ x ≤ 250

• x ≤ 250

• 0 ≤ x ≤ 4.5

• x ≤ 4.5

Which graph shows a minimum value of 4?

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Tags

CCSS.HSF-IF.C.7A

What is the vertex of the graph y = 2x² − 6x + 1?

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Which graph shows a function with zeros of ⅓ and 5?

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Tags

CCSS.HSF-IF.C.7A

A town launches fireworks from a boat on the river to celebrate New Year's Day. The height of the fireworks above ground in meters can be represented by the function f(t) = −4.9t² + 39.2t + 1.6. If t represents the time in seconds, what is the maximum height the fireworks will reach?

• 4

• 80

• 1.6

• 39.2

What is the equation for the axis of symmetry for the function graphed below?

• x = 1

• x = −2

• y = 1

• y = −2

Tags

CCSS.HSF-IF.C.7A

Quadratic function f(x) = x² is graphed on a coordinate plane. The graph of a new quadratic is formed by changing the vertex to (3, 0). Which function could represent the new quadratic?

• g(x) = x² − 3

• g(x) = (x − 3)²

• g(x) = x² + 3

• g(x) = (x + 3)²