Determine the effects on the graph of the parent function ƒ(x) = x for the g(x) function.
1 answer:
Answer:
We can define a horizontal dilation/contraction of scale factor A, as:
g(x) = f(x*A)
if A > 1, this will be a contraction (it will be steeper)
if 0 < A < 1, this will be a dilation. (it will be less steep)
Then if we have:
g(x) = f(6*x) we have a contraction of scale factor 6, this means that the graph of the parent function will be contracted.
Below, you can see how the graphs change, where:
Blue is f(x) =x
green is g(x) = f(6*x) = 6*x
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Answer: y= 3x -
Step-by-step explanation:
Since we know the slope and a set of coordinates we can insert them into the formula y=mx+b and find what b is.
y=mx+b
-1/2=3(2)+b
-1/2=6+b
-1/2-6=6-6+b
-6 1/2=b
Therefore the equation is y=3x -
Answer:
You have 2 and 1/2 pizzas and your friend has 5/6 of a pizza.
Step-by-step explanation:
You have 3 1/4 pizzas. If you get rid of 3/4 of a pizza, you will end up with 2 2/4 pizzas.
To make it easier, you can just change the values into improper fractions: 3 1/4 = 13/4
13/4 - 3/4 = 10/4
10/4 = 2 2/4 pizzas
(2 2/4 = 2 1/2)
Anyways! You now have 2 and a half pizzas. You have 3 times the amount of pizza that your friend has. In other words, your friend has 1/3 the amount of pizza that you have. You can solve for this in two ways, whichever way you solve it is up to you.
- You can solve this problem by dividing the amount of food you have by 3:
which equals 0.8333... (the 3 is repeating). But you can just keep your final answer in fraction form if you want to:
- You can solve this problem by multiplying 1/3 to the amount of food you have:
You have 2 and 1/2 pizzas and your friend has 5/6 of a pizza.