Instructions: Given the function, state the vertex.y=−3(x+4)2−8
Question
Instructions: Given the function, state the vertex.y=−3(x+4)2−8
Solution
The vertex form of a parabola's equation is generally expressed as y=a(x-h)²+k.
In this equation:
- (h, k) is the vertex of the parabola
- 'a' determines the direction and the width of the parabola
Given the function y=−3(x+4)²−8, we can see that:
- 'h' is -4 (note the sign change, it's the opposite of what you see in the equation)
- 'k' is -8
- 'a' is -3
So, the vertex of the given function is (-4, -8).
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