sat suite question viewer
Advanced Math
/ Nonlinear functions
Difficulty: Hard
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 ?
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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.