Simplify 7y+2x - 10y+3x to the second power -10x

Mathematics

1 answer:

lara [203]3 years ago

4 0

$7y+2x - 10y+3x^2-10x=(3x^2)+(2x-10x)+(7y-10y)\\\\=3x^2-8x-3y$

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describe the transformations that produce the graph of g(x)=1/2(x-4)^3+5 from the graph of the parent function f(x)=x^3. Give th

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We have been given a parent function $f(x)=x^{3}$ and we need to transform this function into $g(x)=\frac{1}{2}(x-4)^{3}+5$ .

We will be required to use three transformations to obtain the required function from $f(x)=x^{3}$ .

First transformation would be to shift the graph to the right by 4 units. Upon using this transformation, the function will change to $g(x)=(x-4)^{3}$ .

Second transformation would be to compress the graph vertically by half. Upon using the second transformation, the new function becomes $g(x)=\frac{1}{2}(x-4)^{3}$ .

Third transformation would be to shift the graph upwards by 5 units. Upon using this last transformation, we get the new function as $g(x)=\frac{1}{2}(x-4)^{3}+5$ .

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3 years ago

Find the equation of the line perpendicular to y=−2 that passes through the point (4, −2).

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Answer:

x = 4

Step-by-step explanation:

y = - 2 is the equation of a horizontal line parallel to the x- axis.

A perpendicular line is therefore a vertical line parallel to the y- axis with equation

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (4, - 2 ) with x- coordinate 4 , thus