Writing Exponential Equations Practice

Presentation

•

Mathematics

•

9th Grade

•

Practice Problem

•

Medium

•

CCSS

HSF.BF.B.3, 6.NS.B.3, HSF.LE.A.2

Standards-aligned

Samantha Shain

Used 2+ times

FREE Resource

4 Slides • 12 Questions

Writing Exponential Functions

1) Find the starting value, where x = 0

2) Divide y₂/y₁ to find the growth or decay factor

3) Write as y = ab^x

From a Table

Math Response

Write the equation of the table given in the form

y= ab^x

Type answer here

Deg^°

Rad

Math Response

Write the equation of the table given in the form

y= ab^x

Type answer here

Deg^°

Rad

Math Response

Write the equation of the table given in the form

y= ab^x

Type answer here

Deg^°

Rad

Math Response

Write the equation of the table given in the form

y= ab^x

Type answer here

Deg^°

Rad

Going up is a + direction so k is positive when we go up
Going down is a - direction so k is negative when we go down

Vertical

When we go left - (-#) becomes positive, so it looks like x + h
When we go right - (#) so it looks like x - h

Horizontal

Translations using
y= a⋅b ^x-h+ k

Multiple Choice

If we know $f\left(x\right)=2^x$ , what is the equation when we have a translation 3 units down?

$y=2^{\left(x-3\right)}$

$y=2^{\left(x+3\right)}$

$y=2^x-3$

$y=2^x+3$

Multiple Choice

If we know $f\left(x\right)=2^x$ , what is the equation when we have a translation 3 units right?

$y=2^{\left(x-3\right)}$

$y=2^{\left(x+3\right)}$

$y=2^x-3$

$y=2^x+3$

Math Response

What would be the equation of a function that is shifted left 14 units and up 32 units from f(x) = 4^x?

Type answer here

Deg^°

Rad

New function will have a negative in front of the x inside parenthesis
f(-x)

Across the y-axis

New function will start with a negative out front.
-f(x)

Across the x-axis

Reflections

Dropdown

For the graph below a reflection occurred over the

Dropdown

For the graph below a reflection occurred over the

Multiple Choice

Which is the equation that represents the transform graphed from the solid black function to match the dotted function?

-f(x-4)+3

-f(x+4)+3

f(-x+4)+3

f(-x-4)+3

Multiple Choice

Which is the equation that represents the transform graphed from the solid black function to match the dotted function?

-f(x)-2

-f(x) +2

f(-x) - 2

f(-x) + 2

Multiple Choice

The graph of y = f(x) is the solid black graph given. Write a function that represents the orange dotted graph.

$f\left(x+4\right)+1$

$f\left(x-4\right)+1$

$f\left(x+1\right)+4$

$f\left(x-4\right)+1$

Writing Exponential Functions

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