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natta225
3 months ago
5

the graph of g(x) is a translation of the function f(x) = x2. the vertex of g(x) is located 5 units above and 7 units to the rig

ht of the vertex of f(x). which equation represents g(x)? g(x) = (x 7)2 5 g(x) = (x – 7)2 5 g(x) = (x 5)2 7 g(x) = (x – 5)2 7
Mathematics
2 answers:
Zina [12.3K]3 months ago
6 0
To indicate a rightward shift of 7 units, subtract 7 from the argument, resulting in f(x-7)

To indicate an upward shift of 5 units, add 5 to the function, giving f(x) + 5

Thus, g(x) = f(x-7) + 5 = (x-7)^2 + 5

By subtracting 7 from the function argument, the shift to the right is 7 units.

Adding 5 units to function f results in the graph moving 5 units upward.
lawyer [12.5K]3 months ago
4 0

Answer:

To signify a rightward translation of 7 units, we adjust the argument by subtracting 7, leading to f(x-7)

For a vertical translation of 5 units upwards, we increase the function by 5, resulting in f(x) + 5

Therefore, g(x) = f(x-7) + 5 = (x-7)^2 + 5

This adjustment of 7 units in the function's argument shifts it rightward by 7 units.

Increasing function f by 5 units raises the graph by 5 units.

Step-by-step explanation:

You might be interested in
If mJI = (3x+2)°, mHLK = (15x-36)°, and m∠HML = (8x-1)°, find mHLK
lawyer [12517]

Response:

The measure of mHLK is "(204)°".

Step-by-step breakdown:

Given values include:

mJI = (3x+2)°

mHLK = (15x-36)°

and,

m∠HML = (8x-1)°

then,

What is mHLK?

Now,

Utilizing the chord-chord angle formula, we find

mHMK=\frac{1}{2}(mJL+mHLK)

Inserting the known values into the equation gives us

⇒  (8x-1)=\frac{1}{2}(15x-36+3x+2)

By carrying out cross-multiplication, we arrive at

⇒  2(8x-1)=18x-34

⇒  16x-2=18x-34

By subtracting "18x" from both sides, we obtain

⇒  16x-2-18x=18x-34-18x

⇒  -2x-2=-34

Upon adding "2" to both sides, we end up with

⇒  -2x=-34+2

⇒  -2x=-32

⇒  x=\frac{32}{2}

⇒  x=16

By substituting the value of "x" into mHLK = (15x-36)°, we calculate

⇒ (15x-36)° = (15×16-36)°

⇒                = (240-36)°

⇒                = (204)°

Thus, mHLK = (204)°

4 0
3 months ago
Joan draws a bar chart to show the temperatures at midday on March 1st in five cities. Joan has made four mistakes in her diagra
tester [12383]

Answer:

Step-by-step explanation:

Characteristics of a bar graph include:

1). There must be uniform spacing between the bars or columns.

2). Each bar or column should have a consistent width.

3). All bars must share the same baseline.

4). The height of each bar corresponds to the data value.

Based on these criteria,

- Spacing between London-Paris and Rome-Oslo isn’t uniform.

- Width of the Munich bar differs from the others.

8 0
3 months ago
Read 2 more answers
E saca una bola de billar al azar de una caja que contiene 15 bolas de billar numeradas del 1 al 15 y se registra el número obte
Zina [12379]

Respuesta:

P = 2/7 = 0.2857 o 28.57%

Explicación paso a paso:

En primer lugar, sabemos que hay 15 bolas y necesitamos identificar cuáles son pares y superiores a 10.

Por lo tanto, debemos calcular inicialmente la probabilidad de que el número obtenido sea par.

Los números pares son 2, 4, 6, 8, 10, 12, 14

Contamos 7 números de 15 ---> P(B) = 7/15

De esos números, solo dos son mayores a 10, que son 12 y 14, así que: P(A|B) = 2/15

Para encontrar la probabilidad de obtener un número par mayor que 10:

P(A/B) = P(A|B) / P(B)

P(A/B) = 2/15 / 7/15 = 2/7 = 0.2857

Para calcular el porcentaje: 0.2857 * 100 = 28.57%.

5 0
2 months ago
A traffic engineer is counting the number of vehicles by type that turn into a residential area. The table below shows the resul
Zina [12379]
D. 20.64% or C. 32.37.
4 0
2 months ago
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