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3 years ago

Which statement correctly describes the relationship between the graph of f(x) and the graph of g(x)=f(x)−4 ?

Mathematics

2 answers:

Novosadov [1.4K]3 years ago

7 0

Answer:

The graph of g(x) is the graph of f(x) translated 4 units down.

Step-by-step explanation:

Parent graph = f(x)

Translated graph = g(x)=f(x)-4

Rule : When the graph of f(x) is shift downward by b units

So, f(x)→f(x)-b

So, on comparing the equation of resultant graph with rule

b = 4

So, the Graph f(x) is translated 4 units down to obtain g(x)

So, Option A is true.

Hence The graph of g(x) is the graph of f(x) translated 4 units down.

PtichkaEL [24]3 years ago

6 0

Answer:

See below

Step-by-step explanation:

Just translate the graph of f(x) four units downward.

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What is the slope of the line that passes through the points (8,-8) and (5,-1)?

dezoksy [38]

Hey there!

Answer :

$\sf{ \purple{ \boxed{\bold{m = - \dfrac{7}{3} }}}}$

$\\$

Explanation :

We are given the points $\sf{P_1(\overbrace{ \blue{8}}^{\blue{x_1}} ,\underbrace{\orange{-8}}_{ \orange{y_1}}) \: and \: P_2(\overbrace{ \green{5}}^{\green{x_2}} ,\underbrace{\red{-1}}_{\red{y_2} })}$ . To find the slope $\sf{\purple{m}}$ of such a line, we use the slope formula which is the following:

$\sf{ \purple{m} }= \dfrac{\Delta y}{\Delta x} = \dfrac{ \red{y_2} - \orange{y_1}}{ \green{x_2 }- \blue{x_1}}$

$\\$

⇢Now, by plugging in our values, we get :

$\sf{ \purple{m}} = \dfrac{ \red{ - 1} - \orange{( - 8)}}{ \green{5} \: - \: \blue{8}} = \dfrac{ \: \: 7 \: }{ - 3 \: } \\ \\ \implies \sf{ \purple{ \boxed{m = - \dfrac{7}{3} }}}$

Therefore, the slope of the line is $\sf{ \purple{ \boxed{m = - \dfrac{7}{3} }}}$

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2 years ago

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likoan [24]

Answer:

Step-by-step explanation:

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3 years ago

what’s the y intercept and slope of all of them? I give Brainly

kotegsom [21]

9514 1404 393

Answer:

slope: 6; y-intercept: -3
slope: 11; y-intercept: -1
slope: 2; y-intercept: -13
slope: 1; y-intercept: -6

Step-by-step explanation:

The slope is found using the slope formula. It works well to choose ordered pairs that only differ by 1 in their x-value.

m = (y2 -y1)/(x2 -x1)

The y-intercept is the y-value when x=0. If it is not in the table, it can be found from one point and the slope.

b = y1 -m·x1

1) slope = (9 -3)/(2 -1) = 6

y-intercept = -9 -6(-1) = -3

2) slope = (21 -(-1))/(2 -0) = 22/2 = 11

y-intercept = -1 . . . from table for x=0

3) slope = (-9-(-11))/(2-1) = 2

y-intercept = -11 -(2)(1) = -13

4) slope = (-4 -(-5))/(2 -1) = 1

y-intercept = -7 -1(-1) = -6

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3 years ago

Kenneth is making chocolate cakes. For each cup of milk uses, he needs to use one and 3/4 cups of flour. For each cup of flour h

Klio2033 [76]

Answer:

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Step-by-step explanation:

1 milk = 1 3/4 cup of flour

1 flour = 3/7 cup of cocoa powder

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7 cups of flour = 7 x 3/7 = 7/1 x 3/7 = 3 cups of cocoa powder

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Step-by-step explanation:

ANSWER He is 14 and she is 7 because 21 - 7 is 14

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