Quadratics
This is the highest or lowest point of a quadratic function.
What is the vertex?
The shape of the graph of a quadratic function is called ________.
What is a parabola?
The parent function for quadratics is ____?
What is y = x2?
The transformation that moves a function UP by 3 units is represented by adding this to the equation.
What is +3?
The function y = 3x2 represents this type of transformation.
What is a vertical stretch by a factor of 3?
This is the standard form of a quadratic equation?
What is ax2 + bx + c = y?
A parabola that opens DOWNWARD has this type of leading coefficient.
What is a negative coefficient?
The graph of y = x2 is always symmetric about this line.
What is the y-axis?
The function y = (x - 4)2 represents a shift in this direction.
What is 4 units to the right?
The function y = 1/2 (x2) is an example of this type of transformation.
What is a vertical compression by a factor of 0.5 (one half)?
The solution to a quadratic equation are also called these.
What are the roots or zeros?
The axis of symmetry of a parabola is given by the equation _____.
what is x = -b/(2a)? (negative B divided by two a)
The function y = |x| represents this type of parent function.
What is the absolute value function?
The function y = x2 - 5 represents this type of shift.
What is 5 units down?
This happens to a quadratic graph when the coefficient of x2 is between 0 and 1.
What is a vertical compression? (It gets wider)
When factoring a quadratic expression like x2 + 5x + 6, you look for TWO number that do what?
What are TWO numbers that multiply to 6, and add to 5?
The parabola y = (x - 3)2 + 5 has its vertex at this point.
What is (3,5)?
The parent function of a cubic function is ___?
What is y = x3?
The transformation from y = x2 to y = (x + 2)2 + 3 shifts the graph in these two directions.
What is to the left 2 units, and up 3 units?
The function y = (2x)2 represents this type of transformation.
What is a horizontal compression by a factor of one half?
Solve for x in the equation x2 - 4x - 12=0.
What is x = 6 or x = -2?
The equation of a parabola in vertex form is ________?
The function y = 1/x is known as this type of function.
What is the reciprocal function?
------ 2X DOUBLE JEOPARDY 2X -------
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Describe the transformation of y = 2(x - 1)2 + 4 compared to y = x2.
What is a stretch by 2, shifts to the right 1 unit, shift up 4 units.
How does y = (1/3)x2 compare to y = x2?
What is a vertical compressions by a factor of 1/3? (It becomes wider)