Unit 12 Review Quadratics

What is the maximum?

• (0, 0)

• (3, 9)

• (6, 0)

• (0, 3)

What are the solutions?

• {-2, 1}

• {1, 2}

• {-1,2}

• {0,-4}

Create an equation that opens upward and has a vertex of (2,3)

• $y=\left(x+2\right)^2-3$

• $y=-\left(x-2\right)^2+3$

• $y=\left(x+2\right)^2+3$

• $y=\left(x-2\right)^2+3$

Determine the vertex of  $y=2x^2+2x+1$  

•  $\left(\frac{1}{2},\frac{1}{2}\right)$  

•  $\left(-\frac{1}{2},\frac{1}{2}\right)$  

•  $\left(2,2\right)$  

•  $\left(\frac{1}{2},-\frac{1}{2}\right)$  

Given: $y=2x^2+2x+1$  

Does the parabola open upward or downward?

• upward

• downward

Determine the vertex of  $y=-\left(x-2\right)^2+1$  

• (2,1)

• (1,2)

• (-2,1)

• (2,2)

Determine the y-intercept of  $y=x^2-3x+2$  

• (0,-3)

• (0,1)

• (0,2)

• (0,-1)

Put in standard form.  $y=\left(x-5\right)^2+3$  

•  $y\ =\ x^2\ -\ 10x\ +\ 25$  
  

•  $y\ =\ x^{2^{ }}\ -\ 10x\ +28$  

•  $y\ =\ x^2+25x\ +\ 29$  

Write the following quadratic expression in completed square form...

y = x² + 4x + 10

• y = (x + 4)² + 6

• y =(x + 2)² + 6

• y=(x + 4)² - 6

• y = (x + 2)² - 6

Determine the axis of symmetry of  $y=-\left(x-2\right)^2+1$  

•  $x=-2$  

•  $x=2$  

•  $x=1$  

•  $x=-1$