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3 years ago

Which way will the parabola open? Explain.

2 answers:

8 0

Our parabola open downward and therefore a is negative.

Explanation:
As value of a changes from positive to negative or from negative to positive, the direction of opening changes. For negative values of a we got negative parabolas that open downward. As the original formula y = x^2 we see that x^2 will always be positive because when you square a number it always gives positive value. Therefore the direction for which it will open, depends on value of a.

xeze [42]3 years ago

8 0

Answer:

The parabola is vertical (opens up or down).

Step-by-step explanation:

If the x is squared or if a is positive, the parabola opens up or to the right. If it is negative, it opens down or to the left. The vertex is at (h, k).

- Hope this helps!

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Use the quadratic formula to find both solutions to the quadratic equation

anygoal [31]

Answer:

The answer is in the photo

Step-by-step explanation:

3 0

3 years ago

Which inequality is represented by this graph

sertanlavr [38]

The right answer is of option D.

 $x \geqslant 4$ 

In the given graph, X is greater than 4 and X equals to 4.

Hope it helps.....

Good luck on your assignment

4 0

3 years ago

Can someone please help me with this question? I don't know how? What is the volume of a rectangular prism with a length of 2x –

lesantik [10]

Volume is legnth times widht times height
lenght=2x-1
width=x-2
height=x+1
multiply all together
use mass distributive property
distributive=a(b+c)=ab+ac so extending that
(a+c)(c+c)=(a+b)(c)+(a+b)(d) then keep distributing so
(2x-1)(x-2)(x+1)
do each one seperately
do the first two first and put the other one (x+1) to the side for later
(2x-1)(x-2)=(2x-1)(x)+(2x-1)(-2)=(2x^2-x)+(-4x+2)=2x^2-5x+2
then do the other one
(x+1)(2x^2-5x+2)=(x)(2x^2-5x+2)+(1)(2x^2-5x+2)=(2x^3-5x^2+2x)+(2x^2-5x+2)=2x^3-3x^2-3x+2

the lasst form is 2x^3-3x^2-3x+2

3 0

3 years ago

Describe the graph of a function g by observing the graph of the base function f ?

never [62]

Answer:

Choice 3 is your answer

Step-by-step explanation:

The format of the function when you move it side to side or up and down is

f(x) = (x - h) + k,

where h is the side to side movement and k is up or down. The k is easy, since it will be positive if we move the function up and negative if we move the function down from its original position.

The h is a little more difficult, but just remember the standard form of the side to side movement is always (x - h). If our function has moved 3 units to the left, we fit that movement into our standard form as (x - (-3)), which of course is the same as (x + 3). Our function has moved up 5 units, so the final translation is

g(x) = f(x + 3) + 5, choice 3 from the top.

5 0

3 years ago

Domain: Range: Increasing: Decreasing:

mihalych1998 [28]

Answer:

Domain- -2>x<2

Range- [4,∞)

Increasing-[∞,4]

Decreasing-[4,∞]

3 0

3 years ago