Quiz about MAI HL TRANSFORMATION FUNCTION

Question 1

Describe the transformation that occurred

p(x) = f(x + 3)

Accepted Answer

Left 3 units

Answer

Right 3 units

Answer

Vertical Stretch

Answer

Up 3 units

Question 2

Describe the transformation that occurred.

h(x) = f(x) + 2

Accepted Answer

up 2 units

Answer

left 2 units

Answer

Vertical Strech

Answer

right 2 units

Question 3

Describe the transformation that occurred.

w(x) = f(x - 7)

Accepted Answer

Right 7

Answer

Down 7

Answer

Up 7

Answer

vertical compression

Question 4

Describe the transformation that occurred

m(x) = f(x + 1)

Accepted Answer

Left 1 Unit

Answer

Right 1 unit

Answer

vertical stretch

Answer

up 1 unit

Question 5

Describe the transformation that occurred

m(x) = f(x + 1)

Accepted Answer

Left 1 Unit

Answer

Right 1 unit

Answer

vertical stretch

Answer

up 1 unit

Question 6

Describe the transformation that occurred

k(x) = f(x) - 9

Accepted Answer

Down 9 units

Answer

vertical compression

Answer

Left 9 units

Answer

Right 9 Units

Question 7

Describe the transformation that occurred

g(x) =2f(x)

Accepted Answer

vertical stretch

Answer

Up 2 units

Answer

vertical compression

Answer

Right 2 Units

Question 8

Describe the transformation that occurred
d(x) = f(x) - 1

Accepted Answer

Down 1 Unit

Answer

Left 1 Unit

Answer

Right 1 Unit

Answer

Up 1 Unit

Question 9

Describe the transformations of f(x) when compared to the parent function.
f(x)=x²+5

Accepted Answer

vertical shift up 5 units

Answer

horizontal shift right 5 units

Answer

horizontal shift left 5 units

Answer

vertical shift down 5 units

Question 10

Which transformation transforms the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

Accepted Answer

a horizontal shift 4 units to the left

Answer

a vertical shift 4 units up

Answer

a vertical shift 4 units down

Answer

a horizontal shift 4 units to the right

Question 11

Describe the transformation of y = f(x) for the new function
y = f(x) - 5

Accepted Answer

The graph of y = f(x) was shifted down 5 units.

Answer

The graph of y = f(x) was shifted to the right 5 units.

Answer

The graph of y = f(x) was shifted to the left 5 units.

Answer

The graph of y = f(x) was shifted up 5 units.

Question 12

Which equation describes the transformation of shifting f(x)=x² two units right?

Accepted Answer

(x - 2)2

Answer

x2 + 2

Answer

x2 - 2

Answer

(x + 2)2

Question 13

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

Accepted Answer

g(x)=x2-5

Answer

g(x)=x2+5

Answer

g(x)=(x-5)²

Answer

g(x)=(x+5)²

Question 14

Match the equation to its description.

Accepted Answer

Right 2 and up 2

Answer

Left 2 and up 2

Answer

Right 2 and down 2

Answer

Left 2 and down 2

Question 15

Identify the coordinates of the point (3 , -2), translated 5 units left and 6 units up.

Accepted Answer

(-2,4)

Answer

(2,-4)

Answer

(8,4)

Answer

(-2,-8)

Question 16

The blue function is the parent function f(x) = x³. Which of the following is the correct equation for the red function, g(x)?

Accepted Answer

g(x)=(x-1)³

Answer

g(x)=x3+1

Answer

g(x)=x3-1

Answer

g(x)=(x+1)³

Question 17

If the yellow curve has equation f(x)=x²,

Accepted Answer

Then the blue curve is f(x) = (x+c)²

Answer

Then the blue curve is f(x) = x²- c

Answer

Then the blue curve is f(x) = (x-c)²

Answer

Then the blue curve is f(x) = x² + c

Question 18

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

Accepted Answer

The graph of g is a vertical translation 2 units up of the graph of f

Answer

The graph of f is a horizontal translation two units left of g

Answer

The graph of g is a vertical stretch by a factor of 2 of the graph of f

Answer

The graph of g is a reflection of the graph of f

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