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r-ruslan [8.4K]
2 years ago
7

-12 = 4x + 1 solve algebra

Mathematics
1 answer:
Eddi Din [679]2 years ago
4 0

Answer:

x=-\frac{13}{4}

Step-by-step explanation:

-12=4x+1\\4x=-12-1\\x=-\frac{13}{4}

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Which transformations have been applied to the graph of f(x) = x2 to produce the graph of g(x) = –5x2 + 100x – 450? Select three
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The graph of f(x) is shifted up 50 units

The graph of f(x) is shifted right 10 units

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Step-by-step explanation:

we have

f(x)=x^{2}

This is a vertical parabola open upward

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This is a vertical parabola open downward

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The first thing to note is that fx) is a parabola that opens up and g(x) opens down, so a reflection across the x-axis must have been applied.

Find the vertex of g(x)

Convert to vertex form

g(x)=-5x^{2}+100x-450

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g(x)=-5(x^{2}-20x)-450

g(x)=-5(x^{2}-20x+100)-450+500

g(x)=-5(x^{2}-20x+100)+50

g(x)=-5(x-10)^{2}+50

The vertex is the point (10,50)

so

To translate the vertex of (0,0) to (10,50)

The rule of the translation is

(x,y) ------> (x+10,y+50)

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The transformations are

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The graph of f(x) is shifted right 10 units

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Answer: About 804.25

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