How to find transformation for an analytic geometry equation

Practice Questions

SAT Math › How to find transformation for an analytic geometry equation

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1

Line m passes through the points (–4, 3) and (2, –6). If line q is generated by reflecting m across the line y = x, then which of the following represents the equation of q?

2

Bobby draws a circle on graph paper with a center at (2, 5) and a radius of 10.

Jenny moves Bobby's circle up 2 units and to the right 1 unit.

What is the equation of Jenny's circle?

3

Let f(x) = x3 – 2x2 + x +4. If g(x) is obtained by reflecting f(x) across the y-axis, then which of the following is equal to g(x)?

4

The following is an equation of a circle:

If this circle is moved to the left 2 spaces and down 3 spaces, where does the center of the new circle lie?

5

Lines 2

Refer to the above diagram.

True or false: and comprise a pair of vertical angles.

6

If the point (6, 7) is reflected over the line \dpi{100} \small y=x and then over the x-axis, what is the resulting coordinate?

7

Fxgx1

The graphs of f(x) and g(x) are shown above. Which equation best describes the relationship between f(x) and g(x)?

8

Solve each problem and decide which is the best of the choices given.

What is the amplitude of the following function?

9

Let f(x) = -2x2 + 3x - 5. If g(x) represents f(x) after it has been shifted to the left by three units, and then shifted down by four, which of the following is equal to g(x)?

10

Lines 2

Refer to the above diagram.

True or false: and comprise a linear pair.

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