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RoseWind [281]
3 years ago
12

Write an equation parallel to the function y=2x+3 and goes through the point (1, -4)

Mathematics
1 answer:
sergey [27]3 years ago
6 0

Answer:

y=2x-6

Step-by-step explanation:

Parallel functions are functions with the same slopes but are in different positions on the coordinate plane (for this case it means that they have different y- intercepts)

So this means that the function will have a slope of 2

To find the equation we must plug in the value (1, -4) and find the new y-intercept(c)

(-4)= 2(1)+c

-4-2=c

-6=c

This means that the parallel function that goes through the point (1,-4) is

y=2x-6

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Given the function f(x) = x2 and k = 3, which of the following represents the graph becoming more narrow?
Bess [88]
Functions A and C and D are translations - this means that they are exactly the same shape as f(x), but are displaced on the axes. A translation in the y-direction by k units is represented by f(x) + k, and a translation in the x-direction by k units is represented by f(x - k). This can be summarised in column vector notation:

A translation of the graph y = f(x), by the vector \left[\begin{array}{ccc}a\\b\end{array}\right] results in the graph defined by y - b = f(x - a). This is done by replacing x with (x - a) and y with (y - b). Finally it is rearranged to make y the subject, as is often the convention: y = f(x - a) + b.

Since the graph needs to change shape, this requires a 'stretch'. A stretch is performed by multiplying x or y by a constant, which here is k.

To stretch in the x-direction by a factor n, replace x with (1/n)x. Similarly to stretch in the y-direction by a factor n, replace y with (1/n)y.

For example to stretch y = f(x) by factor n in the x-direction, it would become y = f((1/n)x).

A simple quadratic graph like y = x^2 behaves slightly differently to most other graphs, in that it can narrowed by a stretch in the x or y direction. This means that a more convenient option is to perform a stretch in the y direction, since the multiplier lies outside the function notation. The stretching factor is 3, so we replace y with (1/3)y:

(1/3)y = f(x)
y = 3f(x)

Since k = 3, this becomes

y = kf(x)

... and hence the correct answer is B
6 0
3 years ago
Read 2 more answers
Can someone help me please
bixtya [17]

Answer:

1 gram

Step-by-step explanation:

1 milliliter (ml) of water weighs 1 gram (g). The prefix in front of the unit tells you how to move the decimal. 1 milliliter = 0.001 liters because "milli" means "thousandth". 1 "thousandth" of a liter = 0.001 liters.

8 0
2 years ago
I was confuse on number 5, 6, 7, 8.
KiRa [710]

Answer:

5. 3/5-2/5=1/5; answer is 1/5

6.7/10-3/10=4/10; answer is 2/5(simplify)

7.5/6-4/6=1/6; answer is 1/6

8.3/4-2/4=1/4; answer is 1/4

Step-by-step explanation:

Explanation is above, when subtracting fractions remember that the denominator must be the same and you can subtract the numerator.

Hope this helps!

5 0
2 years ago
Read 2 more answers
Which is answer is correct
horsena [70]

Answer:

i think it is b and c im trying

Step-by-step explanation:


6 0
3 years ago
Ok so I need help on this ,asap plz :)
iragen [17]
Number 1 is 4 radical 10

4 0
3 years ago
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