Quadratic Transformations Change A and C

Comparing h(x)=-5x²-1 to the parent function f(x)=x², determine which transformation DOES NOT occur.

• Reflection over the x-axis

• Vertical stretch by a factor of 5

• Down 1 unit

• Reflected over the y-axis

Which function's graph is the result of shifting the graph of f(x)=-x²-4 3 units down?

• g(x)=-x²-1

• g(x)=-4x²-4

• g(x) = -1/3x²-4

• g(x)=-x²-7

Comparing to f(x)=x², select all of the transformations of g(x)=-5x²+11

• Reflected over x axis

• Vertical stretch by 5

• Vertical stretch by 11

• Up 11

• Left 11

Which of the following is true when the graph of f(x)=x²+4 is transformed into the graph g(x)=2x²+4

• The new function has more zeroes than the old function

• Both functions have the same vertex

• The function is translated up

• The axis of symmetry changes

• negative

• positive

• does not matter

If the yellow curve has equation f(x)=x², and the blue curve, g(x), is the transformation of f(x), then...

• Then the blue curve is g(x) = f(x) - c

• Then the blue curve is g(x) = f(x - c)

• Then the blue curve is g(x) = f(x + c)

• Then the blue curve is g(x) = f(x) + c

The point (-4, 5) of the quadratic function f(x) is shown in the picture. If g(x) = f(x + 2) , where would that same point of g(x) be located?

• (-2, 5)

• (-6, 5)

• (-4, 3)

• (-4, 7)

f(x) is transformed so that it maps onto g(x). Which equation would correctly represent g(x)

• g(x) = 2f(x)

• g(x) = 0.5f(x)

• g(x) = f(x) + 2

• g(x) = f(x + 2)

The graph of the equation y = ax² is shown. If a is multiplied by -0.5, the graph of the new equation is

• Wider and opens downward

• Wider and opens upward

• Narrower and opens downward

• Narrower and opens upward

The graph of the equation y = x² is shown. Which statement best describes the change in this graph when the coefficient of x² is multiplied by 4?

• The parabola becomes wider

• The parabola becomes narrower

• The parabola will shift up four units

• The parabola will shift right four units