VOCABULARY
The u-shaped graph shown by a quadratic.
What is a PARABOLA?
This line always has the equation x = n , where n is the x-coordinate of the vertex.
What is the AXIS OF SYMMETRY ?
The vertex of y = 2x2 + 16x - 1 is this ordered pair.
What is (-4,-33)?
The roots of f(x)= x2 - 4x - 21 are these numbers.
What are -3 and 7?
A parabola will look like this if a (the coefficient of the leading term) is negative.
What is open downwards with the vertex as a maximum?
The line that passes through the vertex and divides a parabola into two equal parts.
What is the AXIS OF SYMMETRY?
This is the point on the graph where y = 0.
What is the root, or zero, or solution, or x-intercept?
y = 4x2 + 7 has its vertex at this point
What is (0,7)?
These are the solutions to the equation x2 - 25 = 0.
What are -5 and 5?
If I cannot factor or complete the square, I can always find the exact roots of a quadratic by this method,
What is the QUADRATIC FORMULA?
The lowest or highest point on a parabola.
What is the VERTEX or TURNING-POINT?
The point on a graph where x = 0.
What is the y - intercept?
The vertex of y = x2 is this ordered pair.
What is (0,0), also known as the "origin"?
Solve: (x + 4)2 = 0.
What is -4?
The second root of a parabola whose first root is x = -3, and axis of symmetry is x = 2.
What is x = 7?
These are four names for the place or places a parabola crosses the x-axis.
What are X-INTERCEPTS, ROOTS, SOLUTIONS, or ZEROES?
y = ax2 + bx + c
What is the standard form of a quadratic equation?
This point is the vertex of y = -3x^2 + 18x - 13.
What is (3,14)?
The zeros of 2x2 + 4x - 6 = 0 are these.
What are 1 and -3?
The zeroes of the function f(x) = (x - p)(x - q) .
What are p and q?
g(x) = (x + p)(x + q)
What is the FACTORED FORM of a quadratic?
y = a( x - h )2 - k
What is the VERTEX FORM of a quadratic equation?
The vertex of y = -4x2 +8x + 8 is this ordered pair.
What is (1,12)?
Solve: x2 + 4x = 0
What are -4 and 0?
The number of x-intercepts of a parabola with a minimum at (0,3) .
What is NONE?