Vertex Form

What is the vertex?

• (2, 4)

• (3, -1)

• (0, 8)

• (4, 2)

Which equation is graphed above?

Which equations matches the graph above?

Tags

CCSS.HSF-IF.C.7A

What is the vertex of the function f(x) = (x - 7)² + 2?

• (7, 2)

• (-7, 2)

• (7, -2)

• (-7, -2)

What is the vertex of the function g(x) = 2(x + 5)^2 – 2?

• (5, -2)

• (-5, 2)

• (-5, -2)

• (2, -5)

In the vertex form of a quadratic function f(x) = a(x – h)^2 + k, what does the "a" value determine?

• The direction in which the parabola opens and the horizontal shift.

• The vertical shift and the width of the parabola.

• The direction in which the parabola opens and the width of the parabola.

• The horizontal and vertical shifts of the vertex.

Tags

CCSS.HSF-IF.C.7A

Based on the vertex form, what is the vertex of the function f(x) = (x + 3)^2 + 7?

• (3, 7)

• (-3, 7)

• (7, 3)

• (-7, -3)

For the function f(x) = - (x – 10)^2 + 3, where is the vertex located?

• (10, 3)

• (-10, -3)

• (3, 10)

• (-3, -10)

If you graph both the vertex form and the standard form of a quadratic function, what will they create?

• Different parabolas

• The same line

• The same parabola

• No graph

Tags

CCSS.HSF-IF.C.7A

What transformation does the term "+5" inside the parentheses apply to the function g(x) = 2(x + 5)^2 – 2?

• It shifts the graph to the right by 5 units.

• It shifts the graph up by 5 units.

• It shifts the graph to the left by 5 units.

• It stretches the graph vertically by a factor of 5.