Identifying Vertices of a Quadratic Function

Identify the vertex and whether the graph opens up or down.

• (5, 2); opens up

• (5, 2); opens down

• (-5, 2); opens up

• (-5, 2); opens down

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

Identify the vertex and whether the graph opens up or down.

• (-1, 4); opens up

• (-1, 4); opens down

• (1, 4); opens up

• (1, 4); opens down

The minimum of a quadratic function is

• The lowest point (vertex) on a graph when a parabola opens up; the point where the graph changes from decreasing to increasing

• The highest point (vertex) on a graph when a parabola opens down; the point where the graph changes from increasing to decreasing

The maximum of a quadratic function is

• The highest point (vertex) on a graph when a parabola opens down; the point where the graph changes from increasing to decreasing

• The lowest point (vertex) on a graph when a parabola opens up; the point where the graph changes from decreasing to increasing

What is the vertex of y=x²+4x+3?

• (2,1)

• (-2,1)

• (0,0)

• (-2,-1)

What is the vertex of the function   y = (x - 3)² + 5

• (-3, 5)

• (3, -5)

• (-3, -5)

• (3, 5)

Convert the equation y= x²+4x into vertex form. 

• y= (x+4)²-4

• y= (x-2)²+4

• y= (x+2)²-4

• y= (x+2)²

Which of the following shows
f(x) = x² - 8x + 1
written in vertex form?

• f(x) = (x - 4)² - 15

• f(x) = (x - 4)² + 17

• f(x) = (x - 4)² - 17

• f(x) = (x - 4)² + 65

Determine the vertex of the parabola y=5(x-2)²–7

• (5, -7)

• (-2, -7)

• (2, -7)

• (-7, -2)