Use the distributive property to expand 9(x + 2) Help!!
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Answer:
(-5, -7) and the x-axis
Step-by-step explanation:
when looking for a point that is 7 points away, we are looking for a difference of 7 in either the x-value or the y-value.
[remember: a point is written as (x, y) ]
We know that the x-value is -7, meaning that it is 7 units under the x-axis (meaning that it is 7 units away)
We know that our point, (2 , -7) has the same y-value as (-5, -7), so we are looking for a change in x. The difference (which is the change) between:
-5 and 2 is 7
(2 - (-5) = 2 + 5 = 7)
so, both the x-axis and the point (-5, -7) are 7 units away from (2, -7)
(the other point (-7, 7) is not near (2 , -7) at all--they have a larger difference on both the y-values, the x-values, and the length of if you made a diagonal line)
(I've attached an image to help you visualize what we're doing)
hope this helps!!
If you start from the "standard" sine function, i.e.
You can change its graph in four ways:
Amplitude: you can multiply the whole function by a constant to stretch/squeeze it vertically. The transformation looks like
Phase: you can add a constant to the argument translate it horizontally. The transformation looks like
Period: you can multiply the argument by a constant to stretch/squeeze it horizontally. The transformation looks like
Shift: you can add a constant to the whole function to translate it vertically. The transformation looks like
In your case, we're changing the period of the function. If the function is squeezed, so you're squeezing the graph horizontally by a factor of 7/4