=
1

(4)
Read the coordinates of the points of intersection from the graph. The
common solutions are (
1, 4) and (2, 1).
Answer
(
1, 4) and (2, 1) or
x
1,
y
4 and
x
2,
y
1
Writing About Mathematics
1.Luis said that the solutions to the equation x22x8 0 are the x-coordinates of thepoints at which the graph of y x22x8 intersects the y-axis. Do you agree withLuis? Explain why or why not.2.Amanda said that if the turning point of a parabola is (1, 0), then the x-axis is tangent to theparabola. Do you agree with Amanda? Explain why or why not.Developing SkillsIn 3–8, find the coordinates of the turning point and the equation of the axis of symmetry of eachparabola.3.yx26x 14.yx22x 35.yx24x 6.yx22x 57.yx28x 48.yx25x In 9–16, find the common solution of each system of equations graphically and check your solution.9.yx22x 210.yx2y x2xy 11.yx24x 312.yx22x y x1y 1 13.yx24x 214.yx22x y 2x3y 2x15.yx26x 516.y2x xy 7 2xy 2In 17–20 write the equation of the parabola that is the locus of points equidistant from each givenpoint and line.
1
2
1
1
3
x
2
2
2
x
4
17.
and
18.
and
19.
F
(0, 2) and
y
2
20.
F
(3,
3) and
y
3
y
5
1
4
F
A
0,
2
1
4
B
y
5 2
1
4
F
A
0,
1
4
B
Exercises
Points Equidistant from a Point and a Line
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