8 Characteristics of Quadratic Functions

A _________ is any function that can be written in the standard form

 $y=ax^2+bx+c$  , where a, b, and c are real numbers and  $a\ne0$  

• quadratic function

• parabola

• vertex

• minimum/maximum 

The graph of a quadratic function is a curve called a ________.

• parabola

• quadratic function

• vertex

• minimum/maximum

The highest or lowest point on a parabola is the _______.

• vertex

• quadratic function

• parabola

• minimum/maximum

If  $a>0$  , the parabola opens upward, and the y-value of the vertex is the ______ value of the function. 

• minimum

• maximum

If  $a<0$ , the parabola opens downward, and the y-value of the vertex is the _________ value of the function.  

• minimum

• maximum

Find the zeros of the quadratic function from its graph. Check your answer.

 $y=x^2+8x+16$  

• -4

• there are no zeros of this function

• -6

• 6

Find the zeros of the quadratic function from its graph. Check your answer.

 $y=-4x^2-2$  

• there are no zeros of this function

• -2

• 2

• -6

Find the axis of symmetry of the parabola

• 1

• 0

• -2

• 4

Find the axis of symmetry of the graph of

 $y=2x^2+x+3$  

•  $-\frac{1}{4}$  

• 2

• 1

• 3

Find the vertex

 $y=-3x^2+6x-7$  

• (1,-4)

• (-3,1)

• (6,4)

• (-7,1)