Quiz about Functions Transformations

Question 1

For $$y=a\left(b\right)^x+k$$ , how can the coefficient transform the function?

Accepted Answer

Reflection over the x-axis

Answer

Horizontal shift

Answer

Vertical Shift

Answer

Reflection over the y-axis

Question 2

How has the function $$7\left(3\right)^x-5$$ been transformed from the parent function $$7\left(3\right)^x$$ ?

Accepted Answer

Shifted down 5

Answer

Shifted up 5

Answer

Reflection over the x-axis

Answer

Reflection over the y-axis

Question 3

How has the function $$-5\left(3\right)^x$$ been transformed from the parent function $$5\left(3\right)^x$$ ?

Accepted Answer

Reflection over the x-axis

Answer

Shifted up 5

Answer

Shifted down 5

Answer

Reflection over the y-axis

Question 4

Question 4.

Accepted Answer

$$-3\left(3\right)^x-2$$

Answer

$$-3\left(3\right)^x+2$$

Answer

$$-3\left(\frac{1}{3}\right)^x+2$$

Answer

$$-3\left(\frac{1}{3}\right)^x-2$$

Question 5

The graph shows the function f(x)=x³ in blue and another function g(x) in red. Which could be the equation for g(x)?

Accepted Answer

g(x) = (x - 1)³

Answer

g(x) = -x³

Answer

g(x) = x³ - 1

Answer

g(x) = (x + 1)³

Question 6

If the blue graph is the parent function, what is the equation of the red (transformed) function?

Accepted Answer

g(x)=(x-1)³

Answer

g(x)=x3+1

Answer

g(x)=x3-1

Answer

g(x)=(x+1)³

Question 7

Which equation shows a function that is translated left 4 and 7 up?

Accepted Answer

y = |x + 4| + 7

Answer

y = (x - 4)² + 7

Answer

y = (x + 7)² - 4

Answer

y = |x + 4| - 7

Question 8

Question 8.

Accepted Answer

$$-3\left(\frac{1}{4}\right)^x+2$$

Answer

$$-3\left(4\right)^x+2$$

Answer

$$3\left(4\right)^x+2$$

Answer

$$3\left(\frac{1}{4}\right)^x+2$$

Functions Transformations