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jasenka [17]
3 years ago
14

What is the graph of f(x)= 2x^2

Mathematics
1 answer:
konstantin123 [22]3 years ago
3 0
Since this is a fairly small equation, it's pretty easy to plug in a few points to get ordered pairs and sketch a graph:

when x = 0...
f(0) = 2(0)^2
f(0) = 0
(0, 0)

when x = 1...
f(1) = 2(1)^2
f(1) = 2
(1, 2)

when x = -1...
f(-1) = 2(-1)^2
f(-1) = 2
(-1, 2)

from there, you can get a rough sketch of the graph just by plotting those points. essentially, it just looks "skinnier" than your typical parabola because the 2 out front makes the curve steeper.
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Which expression is equivalent to 4(6 + 8)?
hoa [83]

Answer:

You would have to add the expression so we know what you're talking about.

Any multiple of those numbers is equivalent though.

Step-by-step explanation:

3 0
3 years ago
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What are the domain and range of the function f(x)= square rootx-7+9?
FinnZ [79.3K]

Answer:

Domain: [7, ∞)

Range: [9, ∞)

Step-by-step explanation:

1) This question may be easily answered if you are aware of the shape of the graph of sq. root x, and the effect of translations to graphs.

1. x - 7 means that the original graph is translated 7 units in the positive direction of the x-axis (ie. to the right), thus the minimum value for x is also shifted from 0 to 7

2. the + 9 means that the graph is translated 9 units in the positive direction of the y-axis (ie. up), thus the minimum y-value is also shifted from 0 to 9

3. We know that the graph will continue to infinity, both in the x- and y-direction

Thus, the domain would be [7, ∞) and the range [9, ∞)

2) Another way to think about it is to ask yourself when it would make sense for the graph to exist. For this, we must consider that you cannot take the square root of a negative number.

Thus, if we have the square root of (x - 7), for what value of x would (x - 7) be negative? If x = 7:

x - 7 = 7 - 7 = 0

Therefor, any x-value less than 7 will lead to a negative answer, which wouldn't be practical. Any value equal to or greater than 7 will lead to a positive answer, thus the permissible values for x are from 7 to infinity, and so the domain is [7, ∞) (note that square brackets are used for 7 as it is included in the domain, whereas infinity is always closed with round brackets).

If we have already found the domain, then we can simply substitute the values for this into the equation to obtain the range (note that this will work for a square root function, however some functions will have turning points and in this case you must calculate the range based on the turning points as well as the minimum and maximum x-values):

if x = 7: y = sq. root (7-7) + 9

= 9

This is the minimum value for y

if we have x = ∞, then the y value will also be infinitely great, therefor the maximum y-value is also ∞. Thus, the range is [9, ∞).

These questions are much easier to solve however if you are already aware of the basic graph and the effect of dilations, translations and reflections so that you may visualise it better.

4 0
3 years ago
Please help me thank you!
Fofino [41]

Answer:

a=f/3

b=8or it g

gf/3

c=-3gx*2

bonus=f(x)=h(−4x)

Step-by-step explanation:

5 0
3 years ago
Answer are <br> A.8<br> B.10<br> C.40<br> D.34
WITCHER [35]

Answer:

A

Step-by-step explanation:

it’s gonna have to add up to 180°, and 5 x 8 - 6 = 34

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2 years ago
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I don't understand this ​
Mamont248 [21]

Answer:

you have to use graph to make it bro

Step-by-step explanation:

hope it will help you

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