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mina [271]
1 year ago
5

Let f(x)=x^2 and g(x)=(x-3)^2+7 match up the correct transormations that are needed to transform the graph of f(x) to the graph

of g(x).
Horizontal translation of


Vertical translation of


3 units right

7 units up

3 units left
Mathematics
1 answer:
pentagon [3]1 year ago
5 0

The transformations are vertical translation 7 units up.horizontal translation 3 units to the left

We have given that the equations

let f(x)=x^2 and g(x)=(x-3)^2+7

We have to determine the correct transformation,

<h3>What is the vertical translation?</h3>

Vertically translating a graph is equivalent to shifting the base graph up or down in the direction of the y-axis. A graph is translated to k units vertically by moving each point on the graph k units vertically.

Notice that the addition of 2 units to the variable x in the exponent involves a horizontal shift to the left in 2 units.

Notice as well that subtraction of 4 units to the functional expression involves a vertical shift downwards in 4 units.

To learn more about the transformation visit:

brainly.com/question/2689696

#SPJ1

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A number + half of the number=15 what is the number?
blondinia [14]

Answer:

10

Step-by-step explanation:

let the number be n then half the number is \frac{1}{2} n, then

n + \frac{1}{2} n = 15

Multiply through by 2 to clear the fraction

2n + n = 30, that is

3n = 30 ( divide both sides by 3 )

n = 10

Thus the number is 10

8 0
3 years ago
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Which of the following are solutions to 2x^2-8x-90
Lorico [155]

Answer:

2(x-9)(x+5)

Step-by-step explanation:

6 0
2 years ago
Lavita finally got her beautiful painting done it was a total of 1 2/3 meters. She was able to finish 3/8 each week. how many we
Paul [167]

<u>Answer:</u>

4 weeks

<u>Explanation:</u>

Length of Lavita’s painting = 1 \frac{2}{3} m=\frac{5}{3} m

Length she was able to finish each week= \frac{3}{8}m

Now,

If she is able to finish\frac{3}{8}m in 1 week

Then

\frac{3}{8}m = 1 week

1 m = \frac{8}{3}m week

Therefore

\frac{5}{3} m=\frac{8}{3} \times \frac{5}{3} \text { week }

= \frac{40}{9}week

=4.44 week

= 4 weeks (approx.)

4 0
3 years ago
(6^4) (6^-2) <br>I still can't find the answer.​
nikitadnepr [17]

Answer:

It would be A )6 powed by 2

Step-by-step explanation:

6 0
2 years ago
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What are the solutions of 3x2 + 14x + 16 = 0?
Leya [2.2K]

Answer:

Given the equation: 3x^2+14x+16=0

The general equation of quadratic formula for ax^2+bx+c=0 where a, b and c are constant;

then, the solution for this equation  is given by;

&#10;x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}              ......[1]

From the equation, 3x^2+14x+16=0 we have

a =2, b=14 and c=16

Substitute these values in [1] to solve for x;

&#10;x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-14\pm\sqrt{(14)^2-4(3)(16)}}{2(3)}              

or

x=\frac{-14\pm\sqrt{196-192}}{6} =\frac{-14\pm\sqrt{4}}{6}

Simplify:

x=\frac{-14\pm\sqrt{4}}{6} =\frac{-14\pm 2}{6}

then,

x=\frac{-14+2}{6} =\frac{-12}{6} =-2 and

x=\frac{-14-2}{6} =\frac{-16}{6} =\frac{-8}{3}

Therefore, the solutions for the given equation is; x =-2 and x =-\frac{8}{3}



6 0
3 years ago
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