Graphing Quadratics

Labelling

Label the key features of the quadratic graph.

Drag labels to their correct position on the image

Root

parabola

y-intercept

Vertex

factor

Root

Multiple Choice

What is the factored form of the quadratic function:

$$y\ =\ x^2-3x-70$$

• $$\left(x+7\right)\left(x\ -\ 10\right)$$

• $$\left(x\ -\ 7\right)\left(x\ +\ 10\right)$$

• $$\left(x\ +\ 7\right)\left(x\ +\ 10\right)$$

• $$\left(x\ -\ 7\right)\left(x-10\right)$$

Multiple Select

Identify ALL the factors of the quadratic function:

$$y\ =\ x^2-5x+6$$

• (x - 2)

• (x - 3)

• (x + 2)

• (x + 3)

Multiple Choice

What is the factor formed of the quadratic function:

$$y\ =\ x^2+4x\ +\ 7$$

• (x + 4)(x + 7)

• This quadratic is not factorable.

• (x - 2)(x + 3)

• x(x + 7)

Multiple Choice

The quadratic function graphed has how many roots?

• Infinitely Many Roots

• One Root

• Two Roots

• No Roots

Multiple Choice

The graphed quadratic function has how many zeros?

• Infinitely Many Zeros

• One Zero

• Two Zeros

• No Zeros

Multiple Choice

If the graph of a quadratic does not intercept the x-axis at any point, then it has:

• 1 Real Solution

• 2 Real Solutions

• Half a Solution

• No Real Solution

Multiple Choice

What are the x-intercepts for the function below?

$$y=\left(x-3\right)\left(x+7\right)$$  

• (3, 0) and (7, 0)

• (3, 0) and (-7, 0)

• (-3, 0) and (7, 0)

• (-3, 0) and (-7, 0)

Multiple Choice

What are the zeros of the following quadratic?

• x = 1 and x = 6

• x = -1 and x = -6

• x = 1 and x = -6

• x = -1 and x = 6

Multiple Choice

Which quadratic equation models the parabola shown?

• y = (x-2)(x-5)

• y = (x+2)(x+5)

Multiple Choice

What is another word for zeros?

• y-intercepts

• x-intercepts

• vertex

• axis of symmetry

Multiple Choice

What are the zeros?

2x(x - 5) = 0

• x = 0, 5

• x = 0, - 5

• x = 5

• x = -5

Multiple Choice

Which equation matches the x-intercepts x=5 and x= -7 ?

• (x+5)(x-7)=0

• (x-5)(x+7)=0

• (x+5)(x+7)=0

• (x-5)(x-7)=0

Multiple Choice

What piece of information does c identify in the following equation?
y=ax²+bx+c

• Zeroes

• Axis of Symmetry

• Direction

• y-intercept

Multiple Choice

$$\left(2x-1\right)\left(3x+4\right)$$   Find the equivalent expression.  

• $$6x^2-5x-4$$  

• $$6x^2+5x-4$$  

• $$6x+11x+4$$  

• $$6x+5x-4$$  

• $$6x^2-11x-4$$  

Multiple Choice

Change the quadratic equation from factored form to standard form:

(x + 6)(x +5)

• x² + 6x + 5

• x² +11x + 30

• x²+ 30x+11

• x² + x - 6

Multiple Choice

What is the quadratic function for the graph in intercept form?

• y = (x - 2)(x - 6)

• y = - (x - 2)(x - 6)

• y = (x + 2)(x + 6)

• y = (x + 4)(x - 4)

Multiple Choice

Write an equation of this graph in intercept (factored) form.

• h(x) = (x - 1)(x + 3)

• h(x) = (x + 1)(x - 3)

Multiple Choice

Which quadratic equation models the parabola shown?

• y = (x - 2)(x + 5)

• y = (x + 2)(x + 5)

• y = -(x - 2)(x - 5)

• y = -(x + 2)(x + 5)

Multiple Choice

How many zeros does this parabola have? 

• 3

• 2

• 0

• 1