Graphing Quadratics

What is the vertex of this quadratic equation?

y = 2(x - 2)² + 5

• (-2,5)

• (2,5)

• (5,-2)

• (-5,-2)

Which quadratic function is represented by the graph?

• y = 2(x - 4)² + 5
• y = 2(x + 4)² + 5
• y = -2(x - 4)² + 5
• y = -2(x + 4)² + 5

Shift f(x)=x² three units to the left and 4 units down

• f(x)=(x+3)²-4
• f(x)=(x-3)²-4
• f(x)=(x+4)²-3
• f(x)=(x-4)²-3

Find the axis of symmetry for

f(x) = x²- 4x + 5.

• x = -2

• x = 2

• y = 2

• y = -2

• y= 2x +1

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 are the green dots called?

• axis of symmetry
• vertex
• parabola
• roots or x-intercepts

Determine the vertex of the parabola:
y = 5x² - 20x + 13

• (5, -7)
• (-2, -7)
• (2, -7)
• (-7, -2)

What is the range of this quadratic graph?

•  $\left[3,\ \infty\right)$  

•  $\left(-\infty,\ 3\right]$  

•  $\left(-\infty,\infty\right)$  
  

•  $\left(-\infty,\ 2\right]$  

When did the ball reach it's maximum height?

• 0.5 seconds
• 9 seconds
• 0 seconds
• 5 seconds

What is the maximum height of the ball?

• 0.5 feet
• 9 feet
• 0 feet
• 5 feet