Graphs of Quadratics in Vertex Form

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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