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3 years ago

For f(x) = x2 and g(x) = (x − 4)2, in which direction and by how many units should f(x) be shifted to obtain g(x)?

Mathematics

2 answers:

Svetach [21]3 years ago

7 0

Answer:

Step-by-step explanation:

took the test

saw5 [17]3 years ago

4 0

Short answer 4 units to the right.

Remark
Graph the two equations.
The purple graph is y = x^2
The black graph is y = (x - 4)^2

Rule
1. When a constant is inside the brackets, the graph moves left or right. To tell which use the second part of the rule.
2. use y = (x + a)^2 as your example.
if a > 0 the graph moves left.
if a < 0 then graph moves right.
Just the opposite of what you would expect.

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2: A bag contains 5 black counters, 4 blue counters, and

drek231 [11]

Answer:

The probability that the counter was blue is $\mathbf{\frac{2}{5}}$

Step-by-step explanation:

Number of black Counters = 5

Number of blue Counters = 4

Number of white Counters = 1

We need to write down the probability that the counter was blue.

First find Total Counters

Total Counters = Number of black Counters + Number of blue Counters + Number of white Counters

Total Counters = 5+4+1

Total Counters = 10

Now, we need to find probability that the counter taken was blue

The formula used is:

$Probability= \frac{Number\:of\:favourable\:outcomes}{Total\:outcomes}$

There are 4 blue counters in the back, so Favourable outcomes = 4

$Probability= \frac{Number\:of\:favourable\:outcomes}{Total\:outcomes}\\Probability= \frac{4}{10}\\Probability= \frac{2}{5}$

The probability that the counter was blue is $\mathbf{\frac{2}{5}}$

5 0

2 years ago

Plz i need help :ppppppp

miv72 [106K]

Answer: D

Step-by-step explanation:

Just do 7 x 88 LOL

8 0

3 years ago

Find the coordinates of the point 7/10 of the way from A to B. a=(-3,-6) b=(12,4)

Artemon [7]

Answer:

The coordinates of $M$ are $x = \frac{15}{2}$ and $y = 1$ .

Step-by-step explanation:

Let be $A = (-3,-6)$ and $B = (12, 4)$ endpoints of segment AB and $M$ a point located 7/10 the way from A to B. Vectorially, we get this formula:

$\overrightarrow {AM} = \frac{7}{10}\cdot \overrightarrow {AB}$

$\vec M - \vec A = \frac{7}{10}\cdot (\vec B - \vec A)$

By Linear Algebra we get the location of $M$ :

$\vec M = \vec A + \frac{7}{10}\cdot (\vec B - \vec A)$

$\vec M = \vec A +\frac{7}{10}\cdot \vec B - \frac{7}{10}\cdot \vec A$

$\vec M = \frac{3}{10}\cdot \vec A + \frac{7}{10}\cdot \vec B$

If we know that $\vec A = (-3,-6)$ and $\vec B = (12, 4)$ , then:

$\vec M = \frac{3}{10}\cdot (-3,-6)+\frac{7}{10}\cdot (12,4)$

$\vec M = \left(-\frac{9}{10},-\frac{9}{5} \right)+\left(\frac{42}{5} ,\frac{14}{5} \right)$

$\vec M =\left(-\frac{9}{10}+\frac{42}{5} ,-\frac{9}{5}+\frac{14}{5} \right)$

$\vec M = \left(\frac{15}{2} ,1\right)$

The coordinates of $M$ are $x = \frac{15}{2}$ and $y = 1$ .

6 0

3 years ago

Can anyone help with this

vesna_86 [32]

I would be able to but i left my maths book at school and that has the explanation in, sorry :(

8 0

3 years ago

Read 2 more answers

How does the figure help verify the triangle inequality theorem?

adelina 88 [10]

The figure description helps; Choice A; by showing that a triangle cannot be formed when the sum of the lengths of two sides is less than the length of the third side.

<h3>What is the triangle inequality theorem?</h3>

The triangle inequalities theorem postulates that the sum of lengths of two sides of a triangle must be greater than the length of the third side.

On this note, it follows that the since the sum of sides given in the description 7 and 4 is less than 15, the segments cannot be used to form a triangle.