Graphing Quadratics Review

Describe the transformation of y = (x - 4)² from the function y = x²

• vertical shift up 4 units

• vertical shift down 4 units

• horizontal shift left 4 units

• horizontal shift right 4 units

Describe the transformation of y = x² + 4 from the function y=x²

• Horizontal shift right 4 units

• Horizontal shift left 4 units

• vertical shift up 4 units

• vertical shift down 4 units

In the equation f(x)=5(x+3)²-10 what does the 5 do?

• Vertical stretch by a factor of 5

• Vertical compression by a factor of 5

• Reflection across the x-axis

• Vertical shift up 5 units

What quadratic function does this table represent?

• The parent function was vertically stretched

• The parent function was horizontally stretched

• The parent function was reflected across the x-axis

• The parent function was vertically shifted down

Which of the following is the correct equation for the given graph?

• f(x) = (x - 2)² - 1
• f(x) = (x + 2)² - 1
• f(x) = -(x + 2)² - 1
• f(x) = -(x - 2)² - 1

• (0, -36)

• (3, 0)

• (-4.5, -56.3)

• (0, -12)

The graph of a quadratic function is called

• a line

• a hyperbola

• a parabola

• a cubic

What quadratic function does this table represent?

Write the linear equation that best represents the data.

• f(x) = 3x - 7

• f(x) = 3x +7