Compare Vertex Form and Standard Form Graphs

Select the TRUE statement.

• g(x) has a greater vertex x-value

• f(x) has a greater vertex x-value

• They have EQUAL vertex x-values.

• These equations are not in vertex form.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Compare g(x) to f(x). Which statement is true about the x value of the vertex?

• The x value of the vertex is greater for f(x).

• The x value of the vertex is greater for g(x).

• The x values of each vertex are equal.

• Trick question, neither of these graphs have a vertex.

Select the FALSE statement.

• g(x) is concave down.

• g(x) has a greater vertex y-value than f(x).

• Based on the form they are in, we can easily identify the vertex of their graphs.

• Both equations are in factored form.

Which of the following shows
f(x) = x² + 12x - 2
written in vertex form?

• f(x) = (x + 6)² + 142

• f(x) = (x + 6)² - 34

• f(x) = (x + 6)² - 38

• f(x) = (x + 6)² + 34

Which quadratic function in vertex form can be represented by the graph that has a vertex at (1,46) and passes through (3,10)?

Which quadratic function in vertex form can be represented by the graph that has a vertex at (5, -3) and passes through the point (-1, -21)?

Which quadratic function in vertex form can be represented by the graph that has a vertex of (-5, 9) and passes through the point (-7, -15)?

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

Which function is equivalent to
y = x² - 6x + 10?

• y = (x + 3)² - 1

• y = (x - 3)² + 1

• y = (x + 6)² - 10

• y = (x - 6)² + 10