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Verizon [17]
2 years ago
5

I need helpppp plss ❗️❗️❗️

Mathematics
1 answer:
katrin [286]2 years ago
3 0

Answer:

f(x) = -2|x| + 1

Step-by-step explanation:

The graph shifts one unit up the y axis since there's a value outside the absolute value which directly adds 1 to it.

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Write functions for each of the following transformations using function notation. Choose a different letter to represent each f
joja [24]

Answer:

1. Translation: g(x) = f(x-a)+b.

2. Reflection around y-axis: h(x) = f(-x)

3. Reflection around x-axis: k(x) = -f(x)

4. Rotation of 90° : R_{90} (x,y)=(-y,x)

5. Rotation of 180° : R_{180} (x,y)=(-x,-y).

6. Rotation of 270° : R_{180} (x,y)=(y,-x).

Step-by-step explanation:

Let us assume that the transformations namely translation, reflection are applied to a function f(x) and the rotation is applied to the point ( x,y ).

So, according to the options:

We know that 'translation moves the image in horizontal and vertical direction'.

1. As we have to translate the function f(x) 'a' units to the right and 'b' units up. So, the new form of the function becomes g(x) = f(x-a)+b.

Further, we know that 'reflection means to flip the image around a line'.

2. As, we have to reflect the function f(x) around y-axis. The new form of the function is h(x) = f(-x).

3. As, we have to reflect the function f(x) around x-axis. The new form of the function is k(x) = -f(x).

Since, 'rotation turns the image around a point to a certain degree'.

4. As, we have to rotate ( x,y ) counter-clockwise to 90° about the origin, the new form of the function is R_{90} (x,y)=(-y,x).

5. As, we have to rotate ( x,y ) counter-clockwise to 180° about the origin, the new form of the function is R_{180} (x,y)=(-x,-y).

6. As, we have to rotate ( x,y ) counter-clockwise to 270° about the origin, the new form of the function is R_{180} (x,y)=(y,-x).

5 0
3 years ago
3/4 x 3 2/5 - 5/5(find the value of each of the following) ​
Triss [41]

The value of the given expression is \frac{-13}{20}.

Solution:

Given expression is \frac{3}{4} \times3\frac{2}{5}-\frac{5}{5}.

Let us first convert mixed fraction into improper fraction.

3\frac{2}{5}=\frac{(3\times5)+2}{5}=\frac{17}{5}

Substitute this in the given expression.

\frac{3}{4} \times3\frac{2}{5}-\frac{5}{5}=\frac{3}{4} \times\frac{7}{15}-\frac{5}{5}

                  =\frac{21}{60}-\frac{5}{5}

To simplify the above expression, 21 and 60 are cancelled by 3.

                 =\frac{7}{20}-\frac{1}{1}

Do cross multiplication to make the denominator same.

                 =\frac{7}{20}-\frac{20}{20}

                 =\frac{7-20}{20}

                 =\frac{-13}{20}

The value of the given expression is \frac{-13}{20}.

7 0
3 years ago
Solve the formula for the specified variable. V=CMU for C
erica [24]

Answer:

C=V/MU

Step-by-step explanation:

8 0
3 years ago
How will the graph of the equations in a system appear if the system has no solution?
Maru [420]
They will appear as parallel lines
8 0
3 years ago
Debbie Redden has a 25%-off coupon and is purchasing a
maksim [4K]
A) the markdown is $9.99
b) original sale price is $39.99
c) after using the coupon the price would be $29.99

in order to find this out you would first divide the original price of 39.99 by 100 in order to find out what 1% is. Then you would multiply this number by 25 to find out what 25% is. Then you would subtract the original amount of 39.99 by the 25% amount in order to find out how much is taken off
7 0
2 years ago
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