Cracking The SAT Premium

(Marvins-Underground-K-12) #1
A) 9

B) 15

C) (approximately   9.43)

D) (approximately   10.82)

Here’s How to Crack It


Start by finding the x- and y-intercepts of the line. When an equation is in y = mx + b form, the y-intercept


is b. So, the y-intercept is at the point (0, –6). To find the x-intercept, you need a point where the y value


is 0, just like how the y-intercept has an x value of 0. So, plug in 0 for y in the equation: 0 = x − 6, so x


= 6, and x = 6 = 9. The x-intercept, then, is (9, 0).


Now draw a right triangle and use the Pythagorean Theorem to calculate the distance: 6^2 + 9^2 = c^2 , so c^2 =
117, and the distance is , which is (D).


Graphing Functions

One type of function question you might be asked is how the graph of a function would shift if you added a
value to it.


Here is a quick guide (c is a constant) for the graph of f(x) = x^2 :


For f(x) + c, the graph will shift up c units, as shown in the diagram below:

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