identify the vertex of the following quadratic function f(x)=2x²+4x-3?
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identify the vertex of the following quadratic function f(x)=2x²+4x-3?
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Answer:
(-1, -5)
Step-by-step explanation:
Identify the vertex of the following quadratic function f(x) = 2x² + 4x - 3.
First, let's find the value of x by using the formula [tex]\frac{-b}{2a}[/tex].
Using substitution:
[tex]\frac{-b}{2a}=\frac{-4}{2(2)} =\frac{-4}{4} =-1[/tex]
Then let's substitute the quotient we got from earlier.
f(x) = 2(-1)² + 4(-1) - 3
f(x) = 2(1) - 4 - 3
f(x) = 2 - 4 - 3
f(x) = -2 - 3
f(x) = -5
Therefore, our coordinates for the vertex of the given quadratic function is (-1, -5). We got the -1 when we used the formula [tex]\frac{-b}{2a}[/tex], and we got the -5 when we substitute the value of the used formula.