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zubka84 [21]
3 years ago
13

17. Which of the following is a graph of y= x^2?

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
7 0

Answer:

The parabola - quadratic.

Step-by-step explanation:

There is only graph / option in the picture but it is the correct one.  Regardless, whether x is a positive or negative, the y coordinate is going to be a positive number as x^2 will produce a positive.  So as -x^2 will also be positive.

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Hello, I am currently very stuck with this problem and I am unsure as to how I would solve it.
borishaifa [10]

We have the equation

20y=x^2-10-15

Let's complete the square, to do it let's add and subtract 25 on the right side

\begin{gathered} 20y=x^2-10-15+25-25 \\  \\ 20y=(x-5)^2-15-25_{} \\  \\ 20y=(x-5)^2-40 \\  \\  \end{gathered}

Now we can have y in function of x

\begin{gathered} y=\frac{1}{20}(x-5)^2-2 \\  \\  \end{gathered}

Now we can already identify the vertex because it's in the vertex form:

y=a(x-h)+k

Where the vertex is

(h,k)

As we can see, h = 5 and k = -2, then the vertex is

(5,-2)

Now we can continue and find the focus, the focus is

\mleft(h,k+\frac{1}{4a}\mright)

We have a = 1/20, therefore

\begin{gathered} \mleft(5,-2+5\mright) \\  \\ (5,3) \end{gathered}

The focus is

(5,3)

And the last one, the directrix, it's

y=k-\frac{1}{4a}

Then

\begin{gathered} y=-2-5 \\  \\ y=-7 \end{gathered}

Hence the correct answer is: vertex (5, -2); focus (5, 3); directrix y = -7

5 0
1 year ago
Hello please help will give brainliest! Thank you
Andreas93 [3]

Answer:

C

Step-by-step explanation:

thats my opinion

I hope it helps

7 0
3 years ago
Factor x^2-10x+25,please show work
Papessa [141]
This is relatively easy because that 25 is a perfect square, whose (square) roots are 5 and -5.  x^2-10x+25 = (x - 5)(x - 5).  Note how (-5)(-5) = +25, and how -5x - 5x = -10x.

The roots are { (x-5), (x-5) }.
5 0
4 years ago
7. Expand and reduce A(x). Then calculate A(x) for x=1.<br> A (x) = (3x – 3)(3x + 2)
SashulF [63]

Given:

The function is

A(x)=(3x-3)(3x+2)

To find:

The simplified form of A(x) and value of A(x) at x=1.

Solution:

We have,

A(x)=(3x-3)(3x+2)

A(x)=(3x)(3x)+(3x)(2)+(-3)(3x)+(-3)(2)

A(x)=9x^2+6x-9x-6

A(x)=9x^2-3x-6

Putting x=1, we get

A(1)=9(1)^2-3(1)-6

A(1)=9-3-6

A(1)=9-9

A(1)=0

Therefore, the simplified form of A(x) is A(x)=9x^2-3x-6 and the value of A(x) at x=1 in 0.

4 0
3 years ago
I need help some plz answer give out point!
mina [271]

Answer:

Kiwis because there are 12 and cost less then nectarienes

Step-by-step explanation:

hope this helps pls give me brainliest

8 0
3 years ago
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