quadratic graphs 1

Use the picture to find the vertex and axis of symmetry

• Vertex (3,8) Axis x = 3

• Vertex (3,8) Axis y = 3

• Vertex (8,3) Axis x = 3

• Vertex (8,3) Axis y = 3

What is the significance of the ordered pair (0, -2) to the graph?

• It is the vertex

• It is an x-intercept

• It is the y-intercept

• It is the axis of symmetry

Which of the following parabolas would be the widest? 

•  $y=4x^2$  

•  $y=8x^2$  

•  $y=x^2$  

•  $y=2x^2$  

•  $y=\frac{2}{5}x^2$  

Does this parabola have a minimum or maximum and what is its value?

• minimum: 2
• maximum: 2
• minimum: 5
• maximum: 5

The parabola  $y=-x^2$  is translated 4 units up. What is its new equation?

•  $y=x^2-4$  

•  $y=-x^2+4$  

•  $y=-\left(x-4\right)^2$  

•  $y=-\left(x+4\right)^2$  

•  $y=-x^2-4$  

For the parabola shown, state which description of its turning point is correct.

• Co-ordinates: (9,3), Maximum

• Co-ordinates (3,9), Minimum

• Co-ordinates (3,9) Maximum

• Co-ordinates (6,0) Maximum

• Co-ordinates (0,0) Minimum

For the parabola

 $y=2x^2+3x-2$  
the x-intercepts and the turning point are :

•  $\left(-2,0\right),\left(\frac{1}{2},0\right)\ \text{and }\left(-\frac{3}{4},-3\frac{1}{8}\right)$  

•  $\left(-\frac{1}{2},0\right),\left(2,0\right),\ \text{and }\left(-\frac{1}{4},-4\right)$  

•  $\left(-\frac{1}{2},0\right),\left(2,0\right)\ \text{and }\left(0,-2\right)$  

•  $\left(0,-2\right),\left(-\frac{1}{2},0\right)\ \text{and }\left(-\frac{1}{2},-2\ \frac{7}{8}\right)$  

•  $\left(-2,0\right),\left(\frac{1}{2},0\right),\ \left(-\frac{3}{2},-2\ \frac{1}{2}\right)$  

The parabola

 $y=x^2$  
is translated 5 unit to the right and 1 unit down. The new x-intercepts are:

•  $\left(4,0\right)\ \text{and }\left(6,0\right)$  

•  $\left(1,0\right)\ \text{and (5,0)}$  

•  $\left(0,0\right)\text{and }\left(10,0\right)$  

•  $\left(-5,0\right)\ \text{and }\left(-1,0\right)$  

•  $\left(5,1\right)\ \text{and }\left(1,5\right)$  

What is the y-intercept of the parabola:


 $y=x^2-4x+3$  ?

•  $\left(0,3\right)$  

•  $\left(3,0\right)$  

•  $\left(1,0\right)$  

•  $x=2$  

•  $\left(2,-1\right)$  

What are the coordinates of the y-intercept?

• (-3, 0)
• (0, -3)
• (2, 1)
• y=-3