3/15 Warm Up: Transformations of Exponentials

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth
• Exponential Decay
• Linear
• None

Tags

CCSS.HSF-IF.C.7E

Given f(x)=5^x write a function that is reflected over the x-axis

• g(x) = -5^x

• h(x)= 5^-x

What is the y-intercept of the function  $y=4\left(5\right)^x?$  

• (0, 0)

• (0, 4)

• (0, 5)

Tags

CCSS.HSF-IF.C.7E

What is the asymptote of the function  $y=4\left(5\right)^x?$  

• y = 0

• y = 4

• y = 5

Tags

CCSS.HSF-IF.C.7E

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

• Shifted up 5

• Shifted down 5

• Reflection over the x-axis

• Reflection over the y-axis

Tags

CCSS.HSF.BF.B.3

What transformations have happened to f(x) = 2^x if the new equation is
 g(x) = -2^(x+3) -6

• It stayed the same
• reflects, up 3, left 6
• reflects, right 3, down 6
• reflects, left 3, down 6

Tags

CCSS.HSF.BF.B.3

What is the horizontal asymptote and what transformations have taken place?
y = 2^x+2 + 1

• y = 2
  right 2, up 1
• y = 1
  left 2, up 1
• y = 1
  right 2, up 1
• y = 2
  right 1, up 2

Tags

CCSS.HSF-IF.C.7E

• $-3\left(3\right)^x+2$

• $-3\left(\frac{1}{3}\right)^x+2$

• $-3\left(3\right)^x-2$

• $-3\left(\frac{1}{3}\right)^x-2$

Tags

CCSS.HSF-IF.C.7E

• $-3\left(4\right)^x+2$

• $-3\left(\frac{1}{4}\right)^x+2$

• $3\left(4\right)^x+2$

• $3\left(\frac{1}{4}\right)^x+2$

Tags

CCSS.HSF-IF.C.7E

• $y=-\left(\frac{1}{4}\right)^x-2$

• $y=4^x-2$

• $y=-4^x-2$

• $y=\left(\frac{1}{4}\right)^x-2$

Tags

CCSS.HSF.LE.A.2