Quadratic Graphs
What is the name of the line that divides a quadratic function exactly in half?
The axis (or line) of symmetry
The "c" value in standard form tells you which charateristic of the graph?
y-intercept
The coordinates of the y-intercept/initial value for the quadratic function:
y=-2x2 + 5x - 7
What is (0,-7)?
Calculate the discriminant of the following equation: y=3x^2+9c-12
225
What is the name of the point on a quadratic function that will be the maximum or minimum of the function?
The vertex
Is the vertex of the quadratic function y = 5x2 + 10x - 2 a maximum or minimum point?
It's a minimum
Find the zeros of the function by factoring or using the quadratic formula:
y = x2 - 8x - 20
x = 10 and x = -2
The vertex for this quadratic function:
y = x2 - 8x - 3
What is (4, -19)?
How many zeros (x-intercepts) can a quadratic function have? List all possibilities.
2, 1, or none
How does the "h" value of the vertex form equation transform the function?
Translates/Shifts Horizontally
Solve the equation by factoring.
x^2-2x-3
(x-3)(x+1)
Find the coordinates of the y-intercept for the quadratic function:
y=3x2 + 2x - 1
Y-intercept (0, -1)
What is the standard form of a quadratic equation?
y = ax2 + bx + c
What does the "a" value of a function do to its parabola?
Reflects the parabola across the x-axis
Find the vertex for the quadratic function:
y = x2 + 10x + 6
What is (-5, -19)
Find the y-intercept and vertex for this quadratic function (round to nearest tenth).
y = -4.9x2 +16.4x + 1
The y-intercept (0, 1) and
the vertex (1.7, 14.7)
What is the vertex form of a quadratic equation? What are the coordinates of the vertex?
y = a(x - h)2 + k and the vertex is (h,k)
How would I write y = x2 to shift it two spaces to the left?
y = (x-2)2
The coordinates of the vertex for this quadratic function:
y = x2 - 4x + 8
What is (2, 4)?
The y component of the vertex can be found by plugging the _______ back into the original quadratic equation.
Axis of symmetry (x)