F(x) = (x+2)^2+4 . what are the coordinates of the vertex?

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Step-by-step explanation:

To find the vertex of this parabola, start by rewriting it in the vertex form .

Start with the original expression:

.

Note that in the vertex form, the sign in front of should be a minus. However, in , the sign in front of is a plus. Since adding

.

Therefore:

Hence, is the vertex of this parabola.

a framing bias

step-by-step explanation:

rodrigo is subject to a framing bias i believe.

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15