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Mathematics
Bethany Gentry
1 August, 01:35
What is the vertex form of f (x) = 5x^2 + 20x-16
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Smudge
1 August, 01:42
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Vertex of given quadratic function is (-2,-36)
Step-by-step explanation:
Given function
We have to find the vertex of the given function.
The standard quadratic function is represented by,
Where (h, k) represents the vertex and a ≠ 0.
If a is positive, the graph opens upward, and if a is negative, then it opens downward.
We first write the given equation in standard form, by using completing square,
We know
First taking 5 common from function, we have,
Comparing we have, a = x and
-2ab = + 4x ⇒ - 2b = 4 ⇒ b = - 2
Add and subtract b, we get,
On simplifying, we have,
We get,
On comapring with standard equtaion, we have h = - 2 and k = - 36
Thus, vertex of given quadratic function is (-2,-36)
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