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4 years ago

Suppose that F(x) = x2 and G(x) = -1/3(x+4)2. Which statement best compares the graph of G(x) with the graph of F(x)

Mathematics

1 answer:

Alik [6]4 years ago

4 0

Answer:

Compress the graph

Flip the graph

Shift the graph 4 units to the left

Step-by-step explanation:

When functions are transformed there are a few simple rules:

Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
Multiplying the function by a number less than 1 compresses it towards the x-axis.
Multiplying the function by a number greater than 1 stretches it away from the x-axis.

This graph has been multiplied by -1/3 which is less than 1. It will be compressed.

It will also flip the graph since it is changing to a negative and be an upside down U.

This graph has x added to by 4. It will shift left 4 units.

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Select the correct answer.

Leviafan [203]

Answer:

The graph of function g is the graph of function f shifted 6 units up.

Step-by-step explanation:

Given

$f(x) = 2^x$

$g(x) =2^x + 6$

Required

Compare g(x) to f(x)

Substitute $f(x) = 2^x$ in $g(x) =2^x + 6$

$g(x) = f(x) + 6$

<em>This implies that f(x) is shifted 6 units upward to give g(x)</em>

4 0

3 years ago

HELP ME PLZ I NEED HELP

german

Answer:

Step-by-step explanation:

$\frac{12}{a} = \frac{9}{b} => 12b = 9a$

$12 * 1.5 = 9 * 2$

$18 = 18$

This option works

5 0

3 years ago

Given f(x) and g(x) = f(x + k), use the graph to determine the value of k.

dedylja [7]

g(x) is basically transformed f(x). First, let's focus on f(x) graph. Notice how the graph has slope of 1 and intersect y-axis at (0,0).

Which means that our equation for f(x) is:

$\large{f(x) = x}$

Now then we focus on g(x). g(x) is f(x+k). That means if f(x) = x then f(x+k) would mean substitute x = x+k in the equation.

$\large{f(x + k) = x + k }\\ \large{g(x) = x + k}$

Next, we want to find the value of k. In the slope-intercept form or y = mx+b where m = slope and b = y-intercept. Notice the g(x) graph and see that the graph intersects y-axis at (0,4). Therefore k = y-intercept = 4.

$\large{g(x) = x + 4}$

Answer

g(x) = x+4
Therefore the value of k is 4.

3 0

3 years ago

True or false? a triangle can be circumscribed about a given circle

Sphinxa [80]

Answer:\

The answer to you is:

True

7 0

3 years ago

-12-x>-12+4x<br> put the steps too pls thanks

andrey2020 [161]

Answer:

x < 0

Step-by-step explanation:

Firstly put the values with variable x to one side,

; -12 - x > -12 + 4x

; -12 + 12 > 4x + x

; 0 > 5x

then divide both sides by 5,

; (0 ÷ 5) > (5x ÷ 5)

; 0 > x

; Hence the solution to the inequality above,

; x < 0...always remember to reverse the sign when you change the side to which you put the variable of x,

Therefore...( x < 0 )

3 0

4 years ago