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Quadratic/Exponential Review
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Terms in this set (20)
Parabola
the U-shaped graph made by a quadratic function
Vertex
The lowest or highest point on a parabola. It lies on the axis of symmetry
Axis of Symmetry
A line that cuts the parabola in half. It goes through the vertex. Starts with x =
Standard Form of a Quadratic
y=ax^2+bx+c
Solving a Quadratic
Determining the places where the quadratic crosses the x-axis
x-intercept
The point (or points) where the parabola crosses the x-axis. Also known as the roots, solutions, or zeros.
y-intercept
The point where the parabola crosses the y-axis.
Maximum
The highest point on a parabola.
The y value of the vertex.
Minimum
The lowest point on a parabola.
The y value of the vertex.
Domain of a Quadratic Function
All real numbers
Range of a Quadratic Function
If open upward, y is greater than or equal to the minimum value.
If open downward, y is less than or equal to the maximum value.
Vertex Form of a Quadratic
y=a(x-h)^2+k
Positive
If the graph opens upward
Negative
If the graph opens downward
Exponential Growth
The b (growth factor) of f(x) = a(b)^x is greater than 1.
Exponential Decay
The b (growth factor) of f(x) = a(b)^x is less than 1.
Initial value, starting point, y-intercept
The a of f(x) = a(b)^x.
Range of an Exponential Function
The y values greater than the asymptote
Asymptote
The horizontal line the graph approaches in an exponential function, starts with y =
Growth Factor
The b in f(x) = a(b)^x that determines exponential growth or decay.
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