Standard Form
This is the general formula for the standard form of a quadratic function.
What is ax2+bx+c?
These are the x-intercepts of the function f(x)=(x-3)(x+11).
What is (3,0) and (-11,0)?
This is the general formula for the vertex form of a quadratic function.
What is a(x-h)2+k?
On a graph, the vertex is also referred to by two other names depending on the function.
What is maximum and minimum?
You could use this form of the quadratic function to easily identify the function’s maximum and minimum.
What is vertex form?
This is the shape of a quadratic function. (Spelling counts!)
What is parabola?
This is the direction this quadratic function opens: f(x)=3x2+5x-1.
What is up?
This the y-intercept of the function f(x)=(x-3)(x+11).
What is (0,-33)?
This is the vertex of this quadratic function:
2(x-4)2+5
What is (4,5)?
This form of a quadratic function is the most difficult and/or time consuming to find the y-intercept.
What is vertex form?
This is another name for a root, or an x-intercept.
What is a zero?
The highest point of a parabola when it opens down.
What is vertex or maximum?
This is the y-intercept of the function: f(x)=-5x2+3x-6
What is (0,-6)?
These are the x-intercepts of the function f(x)=(4x-2)(x+15).
What is (1/2 ,0) and (-15,0)?
This is when the function reaches its maximum:
-2(x-3)2+5
What is (3,5)?
This form is the easiest to find the x-intercepts of a quadratic function.
What is factored form?
True or False: The a term in any of the forms for quadratic functions can be zero.
What is false?
This letter in the standard quadratic equation tells you the y-intercept.
What is c?
As the a term gets further from 0, the shape of the graph starts doing this.
What is gets skinnier or steeper?
This is the y-intercept of the function: f(x)= (4-3x)(-4+5x).
What is (0, -16)?
When this quadratic function -1/2(x-7)2+12 is graphed, it opens in this direction.
What is down?
Quadratic functions can have how many possible roots, or x-intercepts.
What is zero, one, or two?
This tells you if an equation is a quadratic equation.
What is look for the x2 term?
This will determine if a quadratic function opens up or down.
What is a negative sign in front of the a term in ax2+bx+c or
a(x-h)2+k?
This is a real-life example of what the b term in ax2+bx+c could represent.
What is velocity or speed?
This is the vertex of the function: f(x)=(8-2x)(-15+5x)
What is (3.5, 2.5)?
True or False: The constant k in
a(x-h)2+k is visible on the graph the same way the constant c is in ax2+bx+c.
What is false?
True or False: If b=0 in ax2+bx+c, then the vertex is on the y-axis.
What is true?
This is the definition of vertex.
What is the point where the graph changes from increasing to decreasing or vice versa and the highest or lowest point on the graph?
Any coordinate that satisfies an equation or sits on the line of that equation is called this.
What is a solution?