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mixas84 [53]
3 years ago
14

PLEASE HELP ME SOLVE THIS Find all x-values for which f ( x ) = 2 for the function below.

Mathematics
1 answer:
alisha [4.7K]3 years ago
3 0

Answer:

<h3>x = -3</h3>

Step-by-step explanation:

First let us get the equation of the coordinates

y-y0 = m(x-x0)

Using the coordinates ( - 3, 2 ), ( - 1, 0 )

m = 0-2/-1-(-3)

m = -2/2

m = -1

Substitute m = -1 and (-1, 0) into the formula

y - 0 = -1(x+1)

y = -x-1

f(x) = -x-1

Since f(x) = 2

2 = -x-1

-x = 2+1

-x = 3

x = -3

Hence the value of x is -3

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Answer:

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The axis of symmetry,  x = -b/(2a), derived from the coefficients 1, -1 and -2 of this particular function, is x = 1/2.  This x = 1/2 is also the x-coordinate of the vertex.  To find the y-coordinate of the vertex, we evaluate y = x^2 - x - 2 at x = 1/2, obtaining:

y = (1/2)^2 - (1/2) - 2, or y = 1/4 - 1/2 - 2, or -2 1/4.  This does not quite agree with the y value (-2) shown in the diagram, but is close.

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