Ch 9 Quiz Review

What is the vertex of: y = 2𝑥² – 8x + 6

• (-2,2)

• (2,-2)

• (-3,1)

• (3,-1)

Find: 1) The maximum or minimum 2) the Domain and Range: y = 𝑥² – 2x – 5

• Max: -6

  D: {AR#}

  R: {y/ y ≤ -6}

• Max: -5

  D: {AR#}

  R: {y/ y ≤ -5}

• Min: -6

  D: {AR#}

  R: {y / y ≥ -6}

• Min: -5

  D: {AR#}

  R: {y / y ≥ -5}

What is the equation to find the axis of symmetry?

• y=mx+ b

• x= -b/2a

• y=ax²+bx+c

• x=-a/2b

Find the vertex, the axis of symmetry, and the y-intercept: y = –3𝑥² – 12x + 3

• V: (-2, 15)

  x= -2

  Y-int.: 3

• V: (-2, 15)

  x= -15

  Y-int.: -3

• V: (8, 1)

  x= 8

  Y-int.: 1

• V: (8, 15)

  x= 8

  Y-int.: 15

Describe the translation of f(x)=x²:

g(x) = (10+𝑥)²

• translation 10 units to the left

• translation 10 units to the right

• translation 10 units up

• translation 10 units down

Describe the transformation of f(x)=x²:

g(x) = 2𝑥² + 2

• dilation compressed vertically

• dilation compressed horizontally, translated 2 units up

• dilation compressed horizontally, translated 2 units down

• dilation stretched vertically, translated 2 units up

Describe the transformation of f(x)= x²

g(x)= -4(x+3)²

• vertically stretched, translated to the right 3 units, and reflected across the y-axis

• vertically stretched, translated to the left 3 units, and reflected across the x-axis

• vertically compressed, translated 3 units up, and reflected across the x-axis

• vertically compressed, and translated 3 units down

Describe the transformation of f(x)=x²

h(x)= -x²+8

• Reflected across x-axis, and translated 8 units up

• Reflected across the y-axis, translated 8 units up

• Reflected across the y-axis, translated 8 units down

• Reflected across the x-axis, and translated 8 units down

Solve each equation: 𝑥² + 17x + 42 = 0

• {0}

• {-14,-3}

• {-4,12}

• {0,-13}

Solve the equation: 𝑢² = 16u + 36

• {16,-9}

• {-19,-3}

• {18,2}

• {-2,18}