Graphing

Practice Questions

SAT Math › Graphing

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1

On the coordinate plane, , , and are the points with coordinates , , and , respectively. Lines , , and are the perpendicular bisectors of , , and , respectively.

and intersect at a point ; and intersect at a point ; and intersect at a point .

Which of these statements is true of , , and ?

2

On the coordinate plane, , , and are the points with coordinates , , and , respectively. Lines , , and are the perpendicular bisectors of , , and , respectively.

and intersect at a point ; and intersect at a point ; and intersect at a point .

Which of these statements is true of , , and ?

3

Which of the following functions represents a parabola that has a vertex located at (–3,4), and that passes through the point (–1, –4)?

4

Which of the following functions represents a parabola that has a vertex located at (–3,4), and that passes through the point (–1, –4)?

5

Let D be the region on the (x,y) coordinate plane that contains the solutions to the following inequalities:

, where is a positive constant

Which of the following expressions, in terms of ___, is equivalent to the area of D?

6

Let D be the region on the (x,y) coordinate plane that contains the solutions to the following inequalities:

, where is a positive constant

Which of the following expressions, in terms of ___, is equivalent to the area of D?

7

Parabola_7_-11-13

The graph of f(x) is shown above. If f(x) = _ax_2 + bx + c, where a, b, and c are real numbers, then which of the following must be true:

I. a < 0

II. c < 0

III. b_2 – 4_ac < 0

8

Let f(x) = ax2 + bx + c, where a, b, and c are all nonzero constants. If f(x) has a vertex located below the x-axis and a focus below the vertex, which of the following must be true?

I. a < 0

II. b < 0

III. c < 0

9

Parabola_7_-11-13

The graph of f(x) is shown above. If f(x) = _ax_2 + bx + c, where a, b, and c are real numbers, then which of the following must be true:

I. a < 0

II. c < 0

III. b_2 – 4_ac < 0

10

Let f(x) = ax2 + bx + c, where a, b, and c are all nonzero constants. If f(x) has a vertex located below the x-axis and a focus below the vertex, which of the following must be true?

I. a < 0

II. b < 0

III. c < 0

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