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3 years ago

The parabola y=x^2 is scaled vertically by a factor of 2/3. What is the new equation?

Mathematics

2 answers:

LenKa [72]3 years ago

5 0

Answer:

Equation of the new parabola is $y=\frac{2}{3}x^2$

Step-by-step explanation:

The equation of the circle is $y=x^2$

Whenever we do some scaling in vertical direction then there should be change in the overall function or the y values.

If the function function f(x) is scaled vertically by a factor of k, then the translated function becomes kf(x).

Now, here the parabola y=x^2 is scaled vertically by a factor of 2/3.

Hence, k = 2/3

Therefore, equation of the new parabola is $y=\frac{2}{3}x^2$

sertanlavr [38]3 years ago

4 0

Y=2/3x^2 is the new equation

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Harlamova29_29 [7]

Step-by-step explanation:

Here n = 8 (even number)

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3 years ago

Rectangle KLMN is graphed on the coordinate plane below. On a coordinate plane, rectangle K L M N has points (2, negative 2), (5

gladu [14]

Answer: The correct option is (A) (2, -2).

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We are to find the location of the image of point K after the rotation.

We know that

a rotation of 360° in counterclockwise direction about the origin map a point to itself. That is, the co-ordinates of the image point will be same as the original one.

From the figure, we see that the co-ordinates of point K are (2, -2).

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2 years ago

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laila [671]

Answer:

It's D.

Step-by-step explanation:

There are no repetitions of the x values in the ordered pairs so they are all functions.

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3 years ago

And ice cream factory makes 190 quarts of ice cream in five hours how many quarts could be made in 36 hours what was the rate pe

levacccp [35]

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3 0

3 years ago

Please help thanks so much

Goshia [24]

Answer:

y = (-4/3)*x + 7

Step-by-step explanation:

The point-slope form of the equation of a line is: y = a*x + b

In the above equation, a is the slope of the line representing the equation in the graph and y is the function of x [y = y(x)]

The given line has a slope of -4/3, so that a = -4/3

=> The equation of this line has a form as following: y = (-4/3)*x + b (1)

As the line passes through the point (9; -5) (in which: x = 9; y = -5). Replace x =9 and y = -5 into the equation (1), we have:

y = (-4/3)*x + b

=> -5 = (-4/3)*9 + b

=> -5 = -12 + b

=> b = 7

So that the equation in point-slope form of the given line is:

y = (-4/3)*x + 7

6 0

3 years ago