Test on Quadratic Functions and Equations

Consider the equation y = -x² - 7x + 12. Determine whether the function has a maximum or a minimum value. State the maximum or minimum value. What are the domain and range of the function?

• min.; (-7, 0) D: {x|x ≤ 12} R: {all real numbers}

• max.; (-3.5, 24.25) D: {all real numbers} R: {y|y ≤ 24.25}

• min.; (3.5, -24.25) D: {all real numbers} R: {y|y ≥ -24.25}

• max.; (12, 0) D: {x|x ≤ 12} R: {all real numbers}

Tags

CCSS.MATH.CONTENT.HSF.IF.C.7.a

CCSS.MATH.CONTENT.HSF.IF.B.4

Consider the equation y = x² + 5x – 6. Determine whether the function has a maximum or minimum value. State the maximum or minimum value. What are the domain and range of the function?

• min.; (0, 0) D: {all real numbers} R: {all real numbers}

• max.; (0, 0) D: {all real numbers} R: {y | y ≤ 0}

• min.; (-2.5, -12.25) D: {all real numbers} R: {y | y ≥ -12.25}

• max.; (2.5, -12.25) D: {x | x ≤ 2.5} R: {all real numbers}

Tags

CCSS.MATH.CONTENT.HSF.IF.C.7.a

CCSS.MATH.CONTENT.HSF.IF.B.4

Find the coordinates of the vertex of the graph y = x² – 8x + 10. Identify the vertex as a maximum or a minimum.

• (4, -6); minimum

• (4, 58); maximum

• (4, 6); maximum

• (4, -26); minimum

Tags

CCSS.MATH.CONTENT.HSF.IF.C.7.a

CCSS.MATH.CONTENT.HSF.IF.B.4

Find the equation of the axis of symmetry and the coordinates of the vertex of the graph y = -x² + 10x - 17.

• ( x = -5 ); ( -5, -8 )

• ( x = -5 ); ( -5, 42 )

• ( x = 5 ); ( 5, 92 )

• ( x = 5 ); ( 5, 32 )

Tags

CCSS.MATH.CONTENT.HSF.IF.C.7.a

CCSS.MATH.CONTENT.HSF.IF.B.4

Find the coordinates of the vertex of the graph y = -2x² - 8. Identify the vertex as a maximum or a minimum.

• ( -2, -16 ); minimum

• ( -2, 8 ); maximum

• ( 2, -16 ); maximum

• ( 0, -8 ); maximum

Tags

CCSS.MATH.CONTENT.HSF.IF.C.7.a

CCSS.MATH.CONTENT.HSF.IF.B.4

Which equation corresponds to the graph shown?

• y = x² + 1

• y = -x² - 1

• y = x² - 1

• y = x²

Tags

CCSS.MATH.CONTENT.HSF.IF.C.7.a

CCSS.MATH.CONTENT.HSF.IF.B.4

Which is an equation for the function shown in the graph?

• y = -½ x² - 4

• y = 2x² - 4

• y = ½ x² - 4

• y = 2x² - 2

Tags

CCSS.MATH.CONTENT.HSF.IF.C.7.a

CCSS.MATH.CONTENT.HSF.IF.B.4

Describe how the graph of the function g(x) = -3x² - 2 is related to the graph of the function f(x) = -3x².

• translation of f(x) = -3x² reflected over the x-axis and down 2 units

• translation of f(x) = -3x² down 2 units

• translation of f(x) = -3x² reflected over the x-axis and up 2 units

• translation of f(x) = -3x² up 2 units

Tags

CCSS.MATH.CONTENT.HSF.IF.C.7.a

CCSS.MATH.CONTENT.HSA.SSE.B.3.b

How is the graph of f(x) = x² translated to create the graph of g(x) = x² + 4?

• down 4 units

• right 4 units

• up 4 units

• left 4 units

Tags

CCSS.MATH.CONTENT.HSF.IF.C.7.a

CCSS.MATH.CONTENT.HSA.SSE.B.3.b

How is the graph of g(x) = x² - 3 related to the graph of f(x) = x²?

• translated down 3 units

• translated up 3 units

• translated right 3 units

• translated left 3 units

Tags

CCSS.MATH.CONTENT.HSF.IF.C.7.a

CCSS.MATH.CONTENT.HSA.SSE.B.3.b