Math Problem Statement
If h(x) = ax2 + 6 and h(-2) = -2, what is the value of a?
(A) -4
(B) -2
(C) 2
(D) 4
Solution
We are given the function and the value . To find the value of , we substitute into the equation and solve for .
Step-by-step:
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The given function is: Substituting into the function:
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We know that , so:
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Solving for :
So, the value of is .
Answer: (B) -2
Would you like further details or clarifications?
Here are 5 related questions to explore:
- What is the value of if ?
- How would the graph of look compared to ?
- What would happen to the value of if the constant term changed from 6 to another number?
- How do you determine the vertex of a quadratic function like ?
- How does changing in affect the shape of the parabola?
Tip: When solving quadratic equations, always carefully substitute given values for and before solving for unknowns like .
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Math Problem Analysis
Mathematical Concepts
Algebra
Quadratic Functions
Formulas
h(x) = ax^2 + c
Substitution Method
Theorems
Basic Quadratic Function
Suitable Grade Level
Grades 8-10