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alex41 [277]
3 years ago
6

Write an equation for the line that passes through (4,10) and (12,14).

Mathematics
1 answer:
olga_2 [115]3 years ago
7 0

Answer:

6th x of the graph

Step-by-step explanation:

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Match each transformation of function f to a feature of the transformed function.
andrezito [222]

By analyzing the parent function graph, we will see that:

  • 1) m(x) = -f(x) ⇒  "function decreases as x increases"
  • 2)  h(x) = f(x) + 2 ⇒ "asymptote of y = 2"
  • 3) j(x) = f(x + 2) ⇒ "y-intercept at (0, 4)"
  • 4)  g(x) = 2*f(x)  ⇒ "y-intercept at (0, 2)"

<h3>What thing does each transformation?</h3>

Let's list each transformation and let's see which is the correct option for each one.

1) m(x) = -f(x).

This is a reflection over the x-axis, so, now the curve will open downwards. This means that now we have a decreasing function, so the correct option here is: <em>"function decreases as x increases"</em>

2) h(x) = f(x) + 2

This is a vertical translation of 2 units upwards. So it moves the whole graph 2 units upwards. Originally, you can see that in the left side we have an asymptote at y = 0, now that asymptote will be at y = 2.

So the correct option is: <em>"asymptote of y = 2.</em>

3) j(x) = f(x + 2)

This is a shift of 2 units to the left, notice that when we evaluate this in x =  0 we et:

j(0) = f(2) = 2^2 = 4

So the y-intercept os (0, 4).

4) g(x) = 2*f(x)

This is a vertical stretch of scale factor 2.

When we evaluate this in x = 0, we get:

g(0) = 2*f(1) = 2

So the y-intercept is at (0, 2).

If you want to learn more about transformations, you can read:

brainly.com/question/4289712

6 0
2 years ago
11 divided by 15? <br> Help me
OlgaM077 [116]

Answer:

0.733 repeating

Step-by-step explanation:

use your calculator

7 0
2 years ago
1 Sandwich cost: £1.10, 1 coffee cost: £ 0.50, 1 tea cost: £0.30, 1 soft drink cost: £0.60. On Friday Will made a profit of £43.
n200080 [17]
I think it’s 37 sandwiches if he only sold sandwiches
3 0
3 years ago
Solve the equation.
Sergeeva-Olga [200]
The answer to your question is 4
3 0
4 years ago
You want to buy a DVD that costs $19.95. Estimate the total cost if the sales tax rate is 8%.
meriva

Answer:

$1.60

Step-by-step explanation:

first you take 19.95 times .08 and you get 1.596 you round up to get 1.6

4 0
3 years ago
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