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stich3 [128]
3 years ago
10

What is the vertex of a parabola represented by the equation f(x) = -2 (x-4)^2 - 7

Mathematics
1 answer:
zmey [24]3 years ago
7 0

Answer:

f ( x ) = x ^2  + 1

f ( x ) = 7 x^ 2  + 5 x − 4

f ( x ) = 4 ( x − 3 ) ^2

Step-by-step explanation:

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What is the value of x in the equation 3x-5=1/2x+2x
creativ13 [48]

Answer:

10

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x−5=

1

2

x+2x

3x+−5=

1

2

x+2x

3x−5=(

1

2

x+2x)(Combine Like Terms)

3x−5=

5

2

x

3x−5=

5

2

x

Step 2: Subtract 5/2x from both sides.

3x−5−

5

2

x=

5

2

x−

5

2

x

1

2

x−5=0

Step 3: Add 5 to both sides.

1

2

x−5+5=0+5

1

2

x=5

Step 4: Multiply both sides by 2.

2*(

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4 0
3 years ago
Write a rule for the linear function in the table.
JulijaS [17]

Answer:

I guess that you want to know the transformations:

We start with:

f(x) = y = 4*x + 3

a)the transformed function is:

f(x) = y = -4*x - 3

So the sign changed.

This means that we go from (x, y) to (x, - y)

This is a reflection over the x-axis which changes the sin of the y component.

b) Now we go to f(x) = 4*x + 3

So the coefficient in the leading term changed.

This is a horizontal contraction:

A horizontal contraction of factor K for the function g(x) is: g(K*x)

In our case, we have:

f(K*x) = 4*(k*x) + 3 = x + 3

4*k*x = x

4*k = 1

k = 1/4

Then the transformation is an horizontal contraction of scale factor 1/4.

6 0
3 years ago
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