If you're struggling with graphing problems, I'd highly recommend that you check out Desmos and Mathaway. All you have to do is type the equations and it graphs it for you. Here's the first question:
write a function g whose graph represents the indicated transformation of the graph of f. f(x)=|x+1|-3; horizontal stretch by a
1 answer:
Answer:
f(x) = |(x+1)|-3
Step-by-step explanation:
The value representing the horizontal scaling must be placed inside the absolute value, and we need to put () around x - 1 to change the horizontal shift as well. And remember that we must use the reciprocal in the function, so instead of writing y = |9(x+1)|-3, we need to write y = |(x+1)|-3.
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Answer:
1/3 is the slope.
Step-by-step explanation:
First, we need to find the y-intercept of x + 4y = 20.
x + 4y = 20
Subtract x from both sides.
4y = -x + 20
Divide both sides by 4.
y = -1/4x + 5
Input 0 as x to find the y-intercept.
y = -1/4(0) + 5
Simplify.
y = 5
Now we know the y-intercept is (0,5). Now we need to include to find a slope that contains (0,5) and (3,6). We can use the slope formula:
(5 - 6)/(0 - 3) = m
-1/-3 = m
Simplify.
1/3 = m
1/3 is the slope.