Comparing Quadratic Equations to the Parent Function

Which quadratic graph is the widest?

• y = 5x²

• y = -¼x²

• y = -½x²

• y = 5x²

How is the graph of y = 2x²+ 3 different from the graph of y = 2x²?

• It is shifted 3 units left.

• It is shifted 3 units right.

• It is shifted 3 units down.

• It is shifted 3 units up.

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

What is the equation for axis of symmetry?

• y=3

• x=3

• x=5

• x=1

Tags

CCSS.HSF-IF.C.7A

Does the equation open or or down? 
Y = -3x² +7x - 2

• up

• down

Tags

CCSS.HSF-IF.C.7A

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

Describe the transformation of y = 3(x - 3)² + 3

• Narrow, Right, Up

• Narrow, Left, Down

• Wide, Right, Up

• Wide, Left, Down

What's the axis of symmetry of y = 3x² - 6x + 4

• x=1

• x=-6

• x=2

• x=-1

In the equation y= ax² + bx + c , if a > 0, then...

• the graph of the parabola will have a maximum.

• the graph of the parabola will open down

• the graph of the parabola will open up

• the vertex will be (0, 0).

Tags

CCSS.HSF-IF.C.7A