Quadratic Functions
What is the vertex?
a vertex is a point where the first derivative of curvature is zero
how do you find the zeros of a parabola?
factoring
what is a linear function?
refers to two distinct but related notions.
What is slope?
the rise over run
what is the formula for a exponential function?
y=ab^x
What does the line of symmetry mean?
line symmetry, mirror symmetry, or mirror-image symmetry is symmetry with respect to a reflection
What number in the equation do you factor?
the c value
Is the line straight or curved in a linear function?
Always is straight!
What is the y-intercept?
The point where the line crosses the y axis?
what is growth and decay?
b>1 is growth
b<1 is decay
With this point as the vertex (2,4), what is the line of symmetry?
2 is the line fo symmetry
What are the zeros to this equation?
x^2+6x+5=0
(x+5)(x+1)
What is the equation for a linear function?
y=mx+b
What is the slope and y-intercept of this equation?
y=2x+3
y intercept=3
slope=2
what is the difference between linear and exponential?
In a linear relationship, the y-values have equal differences. In an exponential relationship, the y-values have equal ratios.
ax^{2}+bx+c
-2/ba
What is the zero to this equation?
x^2-8x-9=0
(x-1)(x+9)
What does the b represent?
Starting point/y-intercept
What is the slope of this equation?
y=2x+4
2
When percentages or fractions are in a table is it linear or exponential?
exponential, when a table has fractions or percentages it is always exponential
What is the vertex of this equation?
x^2+6x+5=0
(3,32)
what are the zeros to this equation?
x^2-3x+2
(x+1)(x+2)
What does m stand for?
rate of change
Where do you find the y-intercept on a table?
The pair of numbers where the x column is a 0
When something is being doubled or quadrupled, etc is it linear or exponential?
exponential