Quadratic Transformation Standard Form

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

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

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

Comparing the functions, which is the most narrow?

• f(x)=3x²

• g(x)= -2x²

• h(x)=0.5x²

• a(x)=12x²

What transformation has happened from f(x) = x² to f(x) = x² + 6?

• The new function shifts down 6 units.

• The new function shifts up 6 units.

• The new function is narrower.

• The new function is wider.

What transformation has happened from f(x) = x² to f(x) = x² - 3?

• The new function gets wider.

• The new function gets narrower.

• The new function shifts down 3 units.

• The new function shifts up 3 units.

What transformation has happened from f(x) = x² to f(x) = 3x² + 2 ?

• The new function gets wider.

• The new function shifts up 2 units.

• The new function gets narrower.

• The new function gets narrower and shifts up 2 units.

What transformation has happened from f(x) = x² to f(x) = -3x² ?

• The new function reflects about the y-axis.

• The new function reflects about the x-axis and gets narrower.

• The new function reflects about the x-axis and gets wider.

• The new function gets narrower.

What is the vertex of
f(x) = (x - 1)² + 2?

• (-1, 2)

• (-1, -2)

• (1, 2)

• (1, -2)