The quadratic function h is defined as shown. In the xy-plane, the graph of intersects the x-axis at the points and , where t is a constant. What is the value of t ?
A
1
B
2
C
4
D
8
Correct answer: D
Explanation
Choice D is correct. It’s given that the graph of intersects the x-axis at and , where t is a constant. Since this graph intersects the x-axis when or when , it follows that and . If , then . Adding 32 to both sides of this equation yields . Dividing both sides of this equation by 2 yields . Taking the square root of both sides of this equation yields . Adding 4 to both sides of this equation yields . Therefore, the value of t is 8.
Choices A, B, and C are incorrect and may result from calculation errors.
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id cb_question_bank:0aaae3be-ed52-47ec-8e45-9e283d37092b · question 91e7ea5e · IBN 038001-DC
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