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20 questions
The standard form of a quadratic equation is:
y = ax2 + bx + c
x = -b/2a
y = a(x - h)2 + k
d = b2 - 4ac
The U-shaped graph created by a quadratic equation is:
the vertex
the maximum
a parabola
the minimum
The vertical line that divides your quadratic graph into two equal parts is called the (choose all that apply):
line of symmetry
axis of symmetry
vertex
foldline
The formula for the axis of symmetry is:
y = b2 - 4ac
y = -b/2a
x = b2 - 4ac
x = -b/2a
The turning point of the quadratic graph is called the:
vertex
minimum
maximum
axis of symmetry
The vertex that is the highest point of the graph is called the:
minimum
axis of symmetry
maximum
vertex
The vertex that is the lowest point of the graph is called the:
vertex
minimum
maximum
axis of symmetry
The point(s) at which the graph intersects the x-axis are called the:
zeros
x-intercepts
solutions
roots
Used to determine the number of solutions of a quadratic equation (choose all that apply):
Discriminant
axis of symmetry
d = b2 - 4ac
x = - b/2a
The formula for the discriminant is:
x = -b/2a
y = -b/2a
d = b2 - 4ac
y = ax2 + bx + c
Find the axis of symmetry and vertex for
y = -x2 - 2x - 8
x = -1; vertex (-1, 7)
x = -1; vertex (-1, -5)
x = 1; vertex (1, -11)
x = 1; vertex (1, -5)
Find the axis of symmetry and vertex for
y = x2 + 6
x = -3; vertex (-3, 15)
x = -3, vertex (-3, -3)
x = 0; vertex (0, 6)
x = 0; vertex (0, 8)
Using the discriminant, find the number of solutions to y = x2 - 10x + 25
2
1
0
Use the discriminant to find the number of solutions to y = -x2 - 5
2
1
0
Use the discriminant to find the number of solutions to y = -3x2 + 7x + 6
2
1
0
What is the vertex of the quadratic
y = - (x - 1)2 + 3
(-1, 3)
(1, 3)
(-1, -3)
(1, -3)
What is the vertex of the quadratic equation y = 1/2 (x + 4)2 - 8
(4, 8)
(4, -8)
(-4, 8)
(-4, -8)
Write an equation in vertex form given the following transformations to the parent function: Translated seven units right and 2 units up
y = (x - 7)2 + 2
y = (x + 7)2 - 2
y = (x + 2)2 + 7
y = (x - 2)2 - 7
Write an equation in vertex form given the following transformations of the parent function: Stretched by a factor of 2 then four units left and one unit down.
y = 2(x + 4)2 + 1
y = 2(x - 4)2 - 1
y = 2(x + 4)2 - 1
y = 2(x - 4)2 + 1
What is the vertex and range for the parabola above?
(-2, -3) y is less than or equal to -3
(-2, -3), y is greater than or equal to -3
(0, -1); y is less than or equal to -1
(0, -1); y is greater than or equal to -1
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