## THIS USER ASKED 👇

**The graphs of f(x) = 10x and its translation, g(x), are shown.**

**On a coordinate plane, 2 exponential functions are shown. f (x) approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 1) and goes through (1, 10) and (2, 100). g (x) approaches y = 0 in quadrant 2 and increases into quadrant 2. It goes through (3, 1), (4, 10), and (5, 100).
What is the equation of g(x)?
g(x) = 10x – 3
g(x) = 10x + 3
g(x) = 10x – 3**

## THIS IS THE BEST ANSWER 👇

Step by step explanation:

* Let ‘s explain how to solve the problem

– The form of the function is exponential , cá

a is the initial size (x = 0), b is the growth factor

– If b> 1, the function is an exponential growth function

– Más 0

– If the function is shifted horizontally by h units on the right, then

the function is new

– If the function is transferred horizontally by h units to the left, then

the function is new

– If the function shifts vertically at k units up, then the new one

function which

– If the function shifts vertically at units k down, then the new one

function which

* Let you solve the problem

∵ f (x) is an exponential function

Belong Points (0, 1), (1, 10), (2, 100) relate to f (x)

– g (x) is the image f (x) after translation

Belong Points (3, 1), (4, 10), (5, 100) relate to g (x)

∵ becomes a point (0, 1) on f (x) (3, 1) on g (x)

∵ becomes a point (1, 10) on f (x) (4, 10) on g (x)

∵ becomes a point (2, 100) on f (x) (5, 100) ig (x)

∵ All y-coordinates of the points on the function f (x) are the same

with y-coordinates of the points on the function g (x)

∴ There is no vertical translation

∵ The x-coordinates of the points on the function f (x) are added to

3 units to give the x-coordinates of the points on the function g (x)

∴ f (x) is converted to 3 units on the right

∵

∴

– Look at the attached graph for a better understanding

# The red graph shows f (x)

# Blue graph shows g (x)

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