Quadratics Changes in A

What is the equation of this graph?

• f(x) = (x -5)² + 1

• f(x) = (x - 1)² - 5

• f(x) = (x + 1)² - 5

• f(x) = (x + 5)² +1

Tags

CCSS.HSF-IF.C.7A

Does this graph in the back have maximum or minimum value?

• maximum

• minimum

• neither

• both

The axis of symmetry is _____________________ .

The minimum of a quadratic function is

• The lowest point (vertex) on a graph when a parabola opens up; the point where the graph changes from decreasing to increasing

• The highest point (vertex) on a graph when a parabola opens down; the point where the graph changes from increasing to decreasing

The maximum of a quadratic function is

• The highest point (vertex) on a graph when a parabola opens down; the point where the graph changes from increasing to decreasing

• The lowest point (vertex) on a graph when a parabola opens up; the point where the graph changes from decreasing to increasing

Identify the vertex and whether the graph opens up or down.

• (-1, 4); opens up

• (-1, 4); opens down

• (1, 4); opens up

• (1, 4); opens down

What are the zeros?

• x= 0 and x= -4

• x= 0 and x= 4

• y= 0

• x= 2

Tags

CCSS.HSF-IF.C.7A

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

• Vertical shrink by 1/4, up 4 units

• Vertical stretch by 4, up 4 units

• Vertical string by 1/4, left 4 units