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BigorU [14]
3 years ago
14

For the given quadratic equation convert into vertex form, find the vertex, and find the value for x = 6. Show your work.

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
7 0
Since we know x=6, replace all the x with 6 in the equation and then follow the PEMDAS rule. y= -2(6)^2 + 2(6) + 2 y= -2 (36) + 2 (6) + 2 y= -72 + 12 + 2 y= -60+2 y= -58
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asambeis [7]

Answer:

The vertex of this parabola is (-2,-11)

Step-by-step explanation:

One way of finding the x-coordinate of the vertex of a parabola is by using the equation -\frac{b}{2a}

From the function f(x)=x^2+4x-7, we can see that

a=1\\b=4\\c=-7

This means that

-\frac{b}{2a}=-\frac{4}{2(1)} =-2

So, the x-value of the vertex is -2. Now, we can plug this x-value into the function to find the y-coordinate of the point.

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Thus, the vertex of this parabola is (-2,-11)

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