Graphing Quadratics

Graphing Quadratics

by LaTrease Turlington

​WATCH THE FOLLOWING VIDEO

​Write down key information about graphing quadratics.

​You should be able to use your notes to summarize the process for graphing a quadratic function.

Next you will be asked to try a few things on your own.

Make sure you have given the video​ the appropriate attention so that you can be successful.

There are also helpful explanations included.

We will complete an activity when I see you.

​YES...THIS IS GOING IN THE GRADE BOOK!

Multiple Choice

Find the axis of symmetry for

f(x) = x²- 4x + 5.

• x = -2

• x = 2

• y = 2

• y = -2

• y= 2x +1

Fill in the Blanks

$y=x^2+6x+4$  What are the coordinates of the vertex?

Fill in the Blanks

The parabola y = x² - 4x + 5 will have a vertex, write as a coordinate (x, y)

Multiple Choice

What are the coordinates of the vertex? Is it a maximum or a minimum?

• (2, 3); minimum

• (2, 5); maximum

• (2, 3); maximum

• (2, -3); minimum

• (2, -3); maximum

Multiple Select

 Find the x-intercepts for the quadratic function: $$f\left(x\right)=x^2+5x+6$$

• (3,0)

• (2,0)

• (6,0)

• (-2,0)

• (-3,0)

Multiple Choice

What are the real roots (solutions) of the quadratic y = 2x²+4x+5

• (−1, 3)

• (0,5)

• (5,0)

• (3,-1)

• No real roots

Multiple Select

Identify the equation for the graph.

• $$y=x^{2\ }-8x+12$$

• $$y=x^{2\ }+6x+2$$

• $$y=\left(x-2\right)\left(x-6\right)$$

• $$y=\left(x+2\right)^{\ }\left(x+6\right)$$

• $$y=x^2+8x+12$$

Multiple Select

What is the equation for the graph above?  Choose all that apply:

• $$y=x^2+6x+8$$  

• $$y=\left(x-3\right)^2-1$$  
  

• $$y=\left(x-2\right)\left(x-4\right)$$  

• $$y=x^2-6x+8$$  

• $$y=\left(x+2\right)\left(x+4\right)$$  

Multiple Choice

What is the domain of the function?

• All Real Numbers

• -3 ≤ x ≤ 1

• y ≥ 4

• y ≤ 4

• -3≤ y ≥ 1