Test Review - Quadratic Equations
no real solutions
Determine the number of real solutions for a quadratic with discriminant of -64
1 real solution
Determine the number of real solutions for a quadratic with discriminant of 0
2 real solutions
Determine the number of real solutions for a quadratic with discriminant of 4
-64
Find the discriminant 2x²-4x+10=0
89
Find the discriminant for 2x²+5x-8=0
-60
Find the discriminant for 2x²+6x+12=0
13
Find the discriminant for 3x²+7x+3=0
0
Find the discriminant for x²+2x+1=0
4
Find the discriminant for x²+4x+3=0
32
Find the discriminant for x²-2x-7=0
-24
Find the discriminant for x²-4x+10=0
8
Find the discriminant for x²-6x+7=0
100
Find the value of c that makes x²+20x+c a perfect square trinomial
4
Find the value of c that makes x²+4x+c a perfect square trinomial
6.25
Find the value of c that makes x²+5x+c a perfect square trinomial
9
Find the value of c that makes x²+6x+c a perfect square trinomial
20.25
Find the value of c that makes x²+9x+c a perfect square trinomial
30.25
Find the value of c that makes x²-11x+c a perfect square trinomial
49
Find the value of c that makes x²-14x+c a perfect square trinomial
81
Find the value of c that makes x²-18x+c a perfect square trinomial
1
Find the value of c that makes x²-2x+c a perfect square trinomial
1225
Find the value of c that makes x²-70x+c a perfect square trinomial
1
How many solutions does a quadratic equation have if the vertex is on the x-axis?
2
How many solutions does a quadratic equation that opens down with a vertex of (2, 4) have?
0 or No real solution
How many solutions does a quadratic equation that opens up with a vertex of (2, 4) have?
Minimum
If a quadratic equation opens upward, is the vertex a maximum or minimum?
a
In the expression ax² + bx + c, which value determines how the parabola opens?
x
Is the axis of symmetry the x value of the vertex or the y value of the vertex
Minimum
Is the vertex for the quadratic equation x² - 4x + 6 = 0 a max or a min?
{-9.9, -0.1}
Solve by completing the square. Round to the nearest tenth if necessary: 2x²+20x=-2
{-11, -1}
Solve by completing the square. Round to the nearest tenth if necessary: x²+12x+21=10
{2, -6}
Solve by completing the square. Round to the nearest tenth if necessary: x²+4x-12=0
{-7, 1}
Solve by completing the square. Round to the nearest tenth if necessary: x²+6x=7
{2. 12}
Solve by completing the square. Round to the nearest tenth if necessary: x²-14x+30=6
{-3, 5}
Solve by completing the square. Round to the nearest tenth if necessary: x²-2x=15
{-1.4, 3.4}
Solve by completing the square. Round to the nearest tenth if necessary: x²-2x=5
{0.3, 3.7}
Solve by completing the square. Round to the nearest tenth if necessary: x²-4x+1=0
{0.8, 5.2}
Solve by completing the square. Round to the nearest tenth if necessary: x²-6x+4=0
{1.6, 6.4}
Solve by completing the square. Round to the nearest tenth if necessary: x²-8x+10=0
{3, 5}
Solve by completing the square. Round to the nearest tenth if necessary: x²-8x+15
{-4, 9}
Solve by factoring. x² - 5x - 36=0
{-4, 5}
Solve by factoring. x² - x - 20=0
{-6, -5}
Solve by factoring. x²+11x+30=0
{-7, 7}
Solve by using square roots. Round to the nearest tenth if necessary: x² - 49=0
{-3½, 1}
Solve by using the Quadratic Formula. Round to the nearest tenth if necessary 2x²+5x-7=0
∅
Solve by using the Quadratic Formula. Round to the nearest tenth if necessary: 2x²+5x+4=0
{-4½, 1}
Solve by using the Quadratic Formula. Round to the nearest tenth if necessary: 2x²+7x=9
{½, 1}
Solve by using the Quadratic Formula. Round to the nearest tenth if necessary: 2x²-3x=-1
{-1.4, 0.7}
Solve by using the Quadratic Formula. Round to the nearest tenth if necessary: 3x²+2x-3=0
{-2/3, 3}
Solve by using the Quadratic Formula. Round to the nearest tenth if necessary: 3x²-7x-6=0
{-3.7, -0.3}
Solve by using the Quadratic Formula. Round to the nearest tenth if necessary: x²+4x=-1
{-5.4, -0.6}
Solve by using the Quadratic Formula. Round to the nearest tenth if necessary: x²+6x+3=0
{0.5, 6.5}
Solve by using the Quadratic Formula. Round to the nearest tenth if necessary: x²-7x=-3
no real solutions
Solve by using the Quadratic Formula. Round to the nearest tenth if necessary: x²-9x+22=0
Axis of Symmetry
The line that splits a quadratic equation at the point of symmetry is called
x = {-3, -1}
What are the solutions of the graph shown?
x = {-3, 1}
What are the solutions of the graph shown?
x = {∅}
What are the solutions of the graph shown?
x = {∅} no solution
What are the solutions of the graph shown?
x = 2
What is the axis of symmetry for the quadratic equation x² - 4x + 6 = 0?
x = 0
What is the axis of symmetry for the quadratic equation y = x² + 2?
x = -1
What is the axis of symmetry in the graph shown?
x = -2
What is the axis of symmetry in the graph shown?
x = 0
What is the axis of symmetry in the graph shown?
Vertex
What is the point at which the parabola begins to change direction?
y ≤ -4
What is the range in the graph shown?
y ≥ -1
What is the range in the graph shown?
y ≥ -4
What is the range in the graph shown?
y ≥ 1
What is the range in the graph shown?
(2, 2)
What is the vertex for the quadratic equation x² - 4x + 6 = 0?
(0, 2)
What is the vertex for the quadratic equation y = x² + 2?
(-1, -4)
What is the vertex in the graph shown?
(-2, -1)
What is the vertex in the graph shown?
(0, -4)
What is the vertex in the graph shown?
(0, 1)
What is the vertex in the graph shown?
Create an x / y table.
When graphing a quadratic equation, what is the step that follows finding the vertex?
Down
Will the graph for the quadratic equation f(x) = -2x² + 8x - 3 open up or down?