Parts of Parabolas
Formulas
Graphing/ Discriminant Property
Solve for:
Square Roots & Distance
100
axis of symmetry
What is x = a number. (vertical line)
100
y = ax^2 + bx + c
What is the quadratic equation.
100
y = -1/5 x^2 (describe the graph)
What is a maximum parabola with vertex (0, 0). x = 0. Opens down
100
-x^2 + 2x + 27 = 0
What is x is about -4.3, or 6.3
100
Simplify the square root of 50.
What is 5 * square root of 2.
200
vertex
What is the highest or lowest point on a parabola. What is the intersection of a parabola with its axis of symmetry.
200
b^2 - 4ac
What is the discriminant property.
200
y = -x^2 - 4 (describe the graph)
What is a maximum with vertex (0, -4). x = 0; opens down
200
3n^2 + n - 2 = 0
What is x = 2/3 or -1
200
Simplify: square root of 24 times the square root of 2.
What is 4 times the square root of 3.
300
For every point to the left of the y-axis, there is a matching point to the right.
What is symmetric.
300
quadratic formula
What is x = -b +/- the square root of b^2 - 4ac divided by 2a.
300
y = 2x^2 - 8x + 6 (describe the graph)
What is the vertex (2, -2); x = 2; y-intercept = 6; opens up, has a minimum.
300
12x^2 + 7x + 1 = 0
What is x = -1/4 or -1/3.
300
absolute value of (x - 2) = 30
What is -28, & 32.
400
horizontal line, x = 0.
What is the y-intercept.
400
distance formula
What is the absolute value of the second x minus the first x.
400
y = -x^2 + 5 (describe the graph)
What is the vertex (0,5); opens down, has a maximum; x = 0
400
3w^2 - w = 5
What is w = 1.47 or -1.14
400
distance between: (4, 3) & (6, -2)
What is the square root of 29.
500
a > 0, the parabola opens up. a < 0, the parabola opens down.
What is the properties of y = ax^2.
500
Pythagorean Distance Formula
What is AB = the square root of the absolute value of the second x minus the first x squared + the absolute value of the second y minus the first y squared.
500
y = x^2 -2x - 3
What is parabola opens up, has a minimum; y- intercept = -3; vertex is (1, -4).
500
(using the discriminant property, how many real solutions are there) 2x^2 - 3x + 10 = 0
What is no real solution.
500
Find the distance b/w: (5, 1); (11, -7)
What is 10.