Quadratic Functions April 30

Find the axis of symmetry for

f(x) = x²- 4x + 5.

• x = -2

• x = 2

• y = 2

• y = -2

• y= 2x +1

Answer explanation

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

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

Answer explanation

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

Answer explanation

What is the y - intercept?

Answer explanation

 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)

Answer explanation

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

• (−1, 3)

• (0,5)

• (5,0)

• (3,-1)

• No real roots

Answer explanation

Identify the equation for the graph.

• $y=x^{2\ }-8x+12$

• $y=x^{2\ }+6x+2$

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

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

• $y=x^2+8x+12$

Answer explanation

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

•  $y=x^2+6x+8$  

•  $y=\left(x-3\right)^2-1$  
  

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

•  $y=x^2-6x+8$  

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

Answer explanation

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

•  $y=x^2+6x+8$  

•  $y=\left(x-3\right)^2-1$  
  

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

•  $y=x^2-6x+8$  

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

Answer explanation