Graphing Functions Warm-up

Describe the transformations from the parent function.

• right 2; up 6

• vertical stretch by a factor of 4; right 2; up 6

• left 2; up 6

• down 2; left 6

Describe the transformations from the parent function.

• vertical compression; left 3; down 4; reflected over the x axis

• vertical stretch; right 3; down 4; reflected over the x-axis

• up 3; down 4; reflected over the x axis

• the struggle is real Miss.....

Write an equation to match each given description:

cubic function, shifted left 3 and up 1

• y = x³ + 3 + 1

• y = (x + 3)³ + 1

• y = (x - 3)³ - 1

• y = x³ + 4

Write an equation to match each given description:

Exponential function that triples, shifted 3 units left and down 2.

• f(x) = 4^x+3 -2

• f(x) = 3(x+3) -2

• f(x) = 3^x+3 - 2

• f(x) = 3^(x-3) - 2

Write an equation to match each given description:

absolute value function with a range (-∞, 3] and an axis of symmetry at x = -6.

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Given g(x) = -e^x-4 + 3 which describes the transformation on the exponential parent function

• The parent graph is reflected over the vertical axis, shifted right 4 units and up 3 units

• The parent graph is reflected over the vertical axis, shifted left 4 units and 3 units down

• The parent graph is reflected over the horizontal axis, shifted left 4 units and 3 units down.

• The parent graph is reflected over the horizontal axis, shifted 4 right units and 3 units up.

State the domain and range of the function f(x) = 2^{x + 5} - 10

• domain (-∞,∞) Range: (-5, ∞)

• domain (-∞,∞) Range: (-10, ∞)

• domain (-∞,∞) Range: [-10, ∞)

• domain (-∞,∞) Range: [-5, ∞)

State the domain and range in interval notation of the function.

• Domain: [3, ∞) Range: [4, ∞)

• Domain: [-4, ∞) Range: [-3, ∞)

• Domain: [4, ∞) Range: [3, ∞)

• Domain: (-∞, ∞) Range: [3, ∞)

If the blue function is f(x)=x², then the red function must be

• g(x)=x²-5
• g(x)=x²+5
• g(x)=(x-5)²
• g(x)=(x+5)²

Tags

CCSS.HSA.REI.D.11

CCSS.HSF.BF.B.3

Give the equation of the graph:

• y=-|x-1|+3
• y=|x-1|+3
• y=|x+3|+1
• y=-|x+3|+1

Tags

CCSS.HSF-IF.C.7D