5.1b Quadratic Function Properties

The shape of the graph of a quadratic function is called a ___________________.

• Circle

• Line

• Parabola

• Hyperbola

Tags

CCSS.HSF-IF.C.7A

What is the direction of opening for the function

 $f\left(x\right)=2x^2+5x-1$  ?

• Opens up

• Opens down

Tags

CCSS.HSF-IF.C.7A

What is the direction of opening for the function

 $f\left(x\right)=-4x^2-10x+3$  ?

• Opens up

• Opens down

Tags

CCSS.HSF-IF.C.7A

How does the quadratic function $f\left(x\right)=3x^2$  compare to the parent function  $p\left(x\right)=x^2$ ?

• Wider

• Narrower

• The same width

How does the quadratic function $f\left(x\right)=\frac{1}{5}x^2$  compare to the parent function  $p\left(x\right)=x^2$ ?

• Wider

• Narrower

• The same width

What is the equation for the axis of symmetry of any quadratic function?

• $x=-\frac{b}{2a}$

• $x=-2a$

• $y=mx+b$

• $f\left(x\right)=ax^2+bx+c$

The vertex of a quadratic function is located at (3,-5). What is the equation for the axis of symmetry of the same function?

• x = -5

• x = 5

• x = -3

• x = 3

Locate the coordinates for the vertex of the function $f\left(x\right)=x^2-2x+1$ . 

• (-1,4)

• (1,0)

• (-1,2)