All categories

3 years ago

Given that (-7,-7) is on the graph of f(x), find the corresponding point for the function f(x-5)

Mathematics

1 answer:

elena-s [515]3 years ago

8 0

Answer: (-2,-7)

Step-by-step explanation:

A function f(x-c) , where c>0 , represents the horizontal shift of original function to the right c units.

The function f(x-c) is going to add c to the x value, while keeping the y value the same.

Similarly,

The function f(x-5) is going to add 5 to the x value, while keeping the y value the same.

So, the corresponding point to (-7,-7) on f(x-5) = (-7+5,-7)

= (-2,-7)

hence, the corresponding point to (-7,-7) on f(x-5) = (-2,-7)

You might be interested in

I need help with number 3

Juli2301 [7.4K]

Answer:

a) 8 apples

b) 5 oranges

c) 2 oranges and 6 apples

Step-by-step explanation:

a) 8 apples × 1$ = 8$ < 10$

b) 5 oranges × 2$ = 10$

c) 2 oranges × 2$ = 4$

6 apples × 1$ = 6$ (4+6=10)

7 0

2 years ago

Read 2 more answers

The value of x for which 3 (x-2) = 2 (x+1)

netineya [11]

Answer:

x = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define equation

3(x - 2) = 2(x + 1)

Step 2: Solve for x

Distribute: 3x - 6 = 2x + 2
Subtract 2x on both sides: x - 6 = 2
Add 6 to both sides: x = 8

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x: 3(8 - 2) = 2(8 + 1)
Subtract/Add: 3(6) = 2(9)
Multiply: 18 = 18

Here we see that 18 does indeed equal 18.

∴ x = 8 is a solution to the equation.

7 0

3 years ago

Which value makes the equation 3x - 6 = 36 true? a) 10 b)12 c)14 d)16

ioda

Answer:

C) 14

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 6 to both sides:

3x - 6 (+6) = 36 (+6)

3x = 36 + 6

3x = 42

Next, divide 3 from both sides:

(3x)/3 = (42)/3

x = 42/3

x = 14

c) 14 is your answer.

5 0

3 years ago

How can i solve by completing the square 4r^2-28r=-49

Natalija [7]

To complete the square, the second degree term must have a coefficient of 1.
Since the second degree term here has a coefficient of 4, we start by dividing each term on both sides by 4.

$4r^2 - 28r = -49$

$\dfrac{4r^2}{4} - \dfrac{28}{4}r = -\dfrac{49}{4}$

$r^2 - 7r = -\dfrac{49}{4}$

Now we can complete the square.
First, we need to find what number completes the square.
We take the coefficient of the first degree term, -7 in this case.
Divide it by 2 and square it. -7 divided by 2 is the fraction -7/2.
Now we square -7/2 to get 49/4.
We add 49/4 to both sides.

$r^2 - 7r + \dfrac{49}{4} = -\dfrac{49}{4} + \dfrac{49}{4}$

$(r - \dfrac{7}{2})^2 = 0$

$r - \dfrac{7}{2} = 0$

$r = \dfrac{7}{2}$

3 0

3 years ago

Describe the transformation's necessary to transform the graph f(x) into that of g(x)

slamgirl [31]

Answer:

C and F

Step-by-step explanation:

Those two just work, that simple

6 0

3 years ago