Graphs of Quadratics in Vertex Form

Using the graph of the quadratic function, identify the domain.

Using the graph of the quadratic function, identify the range.

Which function has a translation of 3 units to the left?

• f(x) = 3x²+1

• f(x) = (x + 3)² + 1

• f(x) = (x - 3) ²+ 1

• f(x) = (x + 1)²- 3

Which function has a translation of 2 units right and a vertical stretch by a factor of 5?

• f(x)= 5(x - 2)²

• f(x) = 5(x + 2)²

• f(x) = (x - 2)² - 5

• f(x) = (x + 2)² + 5

How will the graph of f(x) = 3x² - 1 be affected if x² becomes (x - 2)^2?

• The vertex of the graph will move left 2 units.

• The vertex of the graph will move up 2 units.

• The vertex of the graph will move right 2 units.

• The vertex of the graph will move down 2 units.

Name the parent function.

• linear

• quadratic

• cubic

• logarithmic

What is the axis of symmetry?

• A line whose equation is the x-coordinate of a parabola's vertex

• A central line that divides a parabola into mirror images

• A line that intersects a parabola at the vertex

• All of the above

Using the graph of the quadratic function, identify the vertex.

• (4, -6)

• (0, 2)

• (.5, 0)

• (7.5, 0)

Which function has a translation of 7 units down and reflects over the x-axis?

• f(x) = -(x - 7)² + 1

• f(x) = (x + 7)² + 1

• f(x) = -(x - 1)² - 7

• f(x) = (x + 1)² - 7

Which quadratic is wider than the graph of y = 4x² + 5?

• y = 4x² + 5

• y = 5x² + 5

• y = 0.25x² + 5

• y = 0.75x²+5