Solve Quadratic Equations
Graph Quadratic Equations
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100

The sum of these numbers squared and 9 is 25.

What are -4 and +4?

100

The coordinates of the symmetric points given by the structure in the equation y=3(x-7)(x+3)-13.

What are (7, -13) and (-3, -13)?

100

The distance between (0, 9) and (0, -5).

What is 14 units?

100

The simplified slope of the line that goes through the points (-6, 10) and (4, -8).

What is -9/5?

200

The numbers when squared, multiplied by 2, and added to 5 equal 23.

What are -3 and +3?

200

The equation of the axis of symmetry in the graph of y=(x-9)(x-1)+10.

What is x=5?

200

The distance between (-3, 5) and (1, 13) as a simplified radical.

What is 4√5?

200

The point-slope form of a line that goes through (4,6) and (-2,12).

What is y-6=-1(x-4) or y-12=-1(x+2)?

300

If you subtract 5 from these numbers and then square it, the result is 36.

What are 11 and -1?

300

The coordinates of the vertex on the graph of the equation y=(x-9)(x-1)+10.

What is (5, -6)?

300

The equation of the circle centered at (2, -6) with a radius of 8.

What is (x-2)2+(y+6)2=82?

300

The coordinates of the midpoint of the line segment with endpoints (-28, 15) and (-14, -5).

What is (-21,5)?

400

The smallest integer value of b that would make the equation x2+b=100 have no real solutions.

What is 101?

400

The graph of the parabola given by the equation y=0.5x(x+8)+3.

What is a parabola drawn through the points (-8,3), (-4,-5), and (0,3).

400

The center and radius of the circle given by the equation x2+y2+18x+8y+16=0.

What are (-9,-4) and r=9?

400

The simplified slope of the line perpendicular to -8x+12y=24.

What is -3/2?

500

The value of a that makes the solutions to a(x+2)2=81 to be x=1 and x=-5.

What is 9?

500

The graph of the equation 0.25(x-3)2+0.04(y+7)2=1.

What is an ellipse going through the points (3,-2), (3,-12), (1,-7), and (5,-7)?

500

The equation of the parabola with focus (-3, 5) and directrix x=2.

What is (x+3)2+(y-5)2=(x-2)2?

500

The point-slope form of the perpendicular bisector of the segment with endpoints (5, 8) and (-3, 9).

What is y-8.5=8(x-1)?