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Darina [25.2K]
2 years ago
8

What is the y-intercept of the function f(x)=4 - 5x? -5 -4 4 5

Mathematics
1 answer:
Len [333]2 years ago
3 0

Answer:

4

Step-by-step explanation: Its  4 becuase you plug in the zero like this'

f(x)=4-5(0)

f(0)=4-0

f(0)=4

So it will (0,4)

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What is the vertex of the absolute value function defined by ƒ(x) = |x + 2| + 4?
Marrrta [24]

Answer:

C. (-2,4)

Step-by-step explanation:

We have been given a function f(x)=|x+2|+4 and we are asked to find the vertex of our absolute value function.

The rules for the translation of a function are as follows:  

f|x-h|=\text{Graph shifted to right by h units}

f|x+h|=\text{ Graph shifted to left by h units}

f|x|+h=\text{ Graph shifted upward by h units}

f|x|-h=\text{ Graph shifted down by h units}

Upon comparing our absolute function with above transformations we can see that our function is shifted to two units right of the origin(0,0) so x coordinate of our absolute function will be -2.

Our function is shifted upward from origin by 4 units, therefore, y-coordinate of our absolute value function will be 4.

f(x)=|x--2|+4

Therefore, the vertex of our absolute value function will be on point (-2,4) and option C is the correct choice.

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3 years ago
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Answer:

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