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Gnom [1K]
1 year ago
13

For which graph is the parent function y=x^2

Mathematics
1 answer:
mylen [45]1 year ago
3 0

y = x²  is the parent function of a parabola opens up and has a vertex at (negative 1, negative 2)

<h3>What is the standard equation of a parabola ?</h3>

The standard equation of a parabola is given by

y =a(x-h)² +k

Vertex at h , k

It is given that It has to be chosen from the options that whose parent function is

y = x²

As the plot of the first option is done , which is shown in the figure ,

The parabola is given by

y = (x +1)² +2

and the parent function is y = x²

Therefore the Option 1 is the answer.

To know more about standard equation of a parabola

brainly.com/question/27915520

#SPJ1

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Calculate the total area of the shaded region.
LUCKY_DIMON [66]

so hmmm seemingly the graphs meet at -2 and +2 and 0, let's check

\stackrel{f(x)}{2x^3-x^2-5x}~~ = ~~\stackrel{g(x)}{-x^2+3x}\implies 2x^3-5x=3x\implies 2x^3-8x=0 \\\\\\ 2x(x^2-4)=0\implies x^2=4\implies x=\pm\sqrt{4}\implies x= \begin{cases} 0\\ \pm 2 \end{cases}

so f(x) = g(x) at those points, so let's take the integral of the top - bottom functions for both intervals, namely f(x) - g(x) from -2 to 0 and g(x) - f(x) from 0 to +2.

\stackrel{f(x)}{2x^3-x^2-5x}~~ - ~~[\stackrel{g(x)}{-x^2+3x}]\implies 2x^3-x^2-5x+x^2-3x \\\\\\ 2x^3-8x\implies 2(x^3-4x)\implies \displaystyle 2\int\limits_{-2}^{0} (x^3-4x)dx \implies 2\left[ \cfrac{x^4}{4}-2x^2 \right]_{-2}^{0}\implies \boxed{8} \\\\[-0.35em] ~\dotfill

\stackrel{g(x)}{-x^2+3x}~~ - ~~[\stackrel{f(x)}{2x^3-x^2-5x}]\implies -x^2+3x-2x^3+x^2+5x \\\\\\ -2x^3+8x\implies 2(-x^3+4x) \\\\\\ \displaystyle 2\int\limits_{0}^{2} (-x^3+4x)dx \implies 2\left[ -\cfrac{x^4}{4}+2x^2 \right]_{0}^{2}\implies \boxed{8} ~\hfill \boxed{\stackrel{\textit{total area}}{8~~ + ~~8~~ = ~~16}}

7 0
2 years ago
Will mark brainliest lol​
BabaBlast [244]

Answer:

x=17

The angles are Vertical.

Step-by-step explanation:

6x17 equals 102. Then subtract 12 from 102 to get 90 degrees.

6(17)-12=90 degrees

3 0
3 years ago
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¯¯¯ , BD¯¯¯¯¯ , and CD¯¯¯¯¯ are angle bisectors of the sides of △ABC . CF=8 m and CD=17 m. What is DE ?
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I just took this quiz. Its 15

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3 years ago
780,000 divided by 10=?
bekas [8.4K]

Answer:

the answer is 78,000

Step-by-step explanation:

your welcome

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3 years ago
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Solve for c; a/b+c=d/c
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To solve for c, you need to get c onto one side of the equation, or make it c=__. So what I would do first is subtract a/b from both sides

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-a/b

a/b - a/b + c = d/c - a/b

c = d/c-a/b

8 0
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