Multiple Choice Question (MCQ)
g(x) = ax^2+24
For the function g defined above, a is a constant and g(4)=8. What is the value of g(−4)?
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✓
8
-
×
0
-
×
-1
-
×
-8
g(x) = ax^2+24
For the function g defined above, a is a constant and g(4)=8. What is the value of g(−4)?
8
0
-1
-8
\because g( 4)=8
Substituting into the given function g(x)= ax^2+24 establishes the following equation
8 = 4^2a+24
Solve the equation
1=2a+3
a=-1
g(x) is determined as
g(x) = -x^2+24
Substituting x=-4 into the function gives
g(-4)=-(-4)^2+24=8
A is correct choice