Quadratics Converting Between Forms

Comparing the functions, which is the most narrow?

• f(x)=3x²

• g(x)= -2x²

• h(x)=0.5x²

• a(x)=12x²

For a graph to be wider, the a value must be

• Very large number, regardless of sign

• Very small number, regardless of sign

• Negative number

• a=0

Describe the transformations from f(x)=x² to g(x)=1/4x²+4

• Reflected across x axis, up 4 units, right 2 units

• Vertical shrink by 1/4, up 4 units

• Vertical stretch by 4, up 4 units

• Vertical string by 1/4, left 4 units

Changing the c value of a standard form quadratic (y=ax²+bx+c) transforms the graph how?

• Up and down

• Left or right

• Reflects over x axis

• Up only

• Creates a change in the universe that is so chaotic it creates a new galaxy

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

Which function has vertex different from f(x)=2x²+1

• g(x)=x²+4

• g(x) = 3x²+1

• g(x) = x²+1

• g(x) = -2x²+1

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

Two identical softballs are dropped. The first is dropped from a height of 400 feet and the second is dropped from a height of 324 feet. How much longer does it take the softball to drop from 400 feet?

• 0.5 seconds

• 4 seconds

• 4.5 seconds

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