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Quadratic Functions Vocabulary - Part 1
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Gravity
Terms in this set (20)
axis of symmetry
formula is x=-b/2a
maximum value
the largest value of the function
(happens when a quadratic is concave down)
minimum value
the smallest value of the function (happens when a quadratic is concave up)
quadratic function
a function of second degree
reflection
a transformation resulting from a flip, the leading coefficient is negative
standard form of the quadratic function
f(x) = ax² + bx + c, where a ≠ 0
translation
a transformation or change in position resulting from a horizontal or vertical shift
axis of symmetry
a line that passes through a figure in such a way that the part of the figure on one side of the line is a mirror reflection of the part on the other side of the line
vertex form of the quadratic function
f(x)=a(x-h)²+k
vertical shrink
a reduction of all y-values of a function by a factor between 0 and 1
vertical stretch
multiplies all y-values of a function by the same factor greater than 1
x-intercept
the point where the line crosses the x axis; the value for x when y=0
roots
The x-intercepts of the graph of a function; the points for which f(x)=0; the zero(s) of a function.
x-intercept
the point where the line crosses the x axis; the value for x when y=0
y-intercept
the point where the line crosses the y axis; the value for y when x=0
parabola
The arch or "U" shaped graph of a quadratic function
completing the square
A process used to form a perfect square trinomial. Helps us write a quadratic in VERTEX form
factoring
rewriting an expression as the product of its factors
Quadratic Formula
used to calculate the solutions of any quadratic equation in standard form.
Discriminant
b² - 4ac is the expression under the radical sign in the quadratic formula and tells how many and what type of solutions a quadratic equation has.
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