What is the change that occurs to the parent function f(x) = x2 given the function f(x) = x2 + 7.

ANSWER

shifts up 7 units.

EXPLANATION

The given function is

This is the base of the quadratic function without any transformation.

It is also refer to as the parent function.

The transformed function has equation:

This transformation is of the form

This transformation shifts the graph of the base function up by k units.

Since k=7, the base function is shifted up by 7 units.

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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