linear functions
What does the graph of a linear function look like?
its a straight line
What are the two types of exponential functions?
growth and decay
The standard form for quadratic equations
y = ax2+bx+c
y = abx
Write and solve an equation for this scenario:
Susie has 15 freckles in her face. When she stays in the sun, it triples every hour. Hour many freckles does she have after 3 hours?
y = 15(3)x
405 freckles
What's the first step to solve this linear function:
y = 2(x + 4)
distributive property
The graph of an exponential function looks like this.
curve
Use this equation to find the axis of symmetry.
-b/(2a)
The quadratic parent function is
y = x2
What is the y-intercept in this function:
y = -3x + 9
9
The definition of an exponential function.
the variable, x, is the exponent
What shape is the graph of a quadratic equation?
a U-shaped curve called a parabola.
The slope-intercept form of a linear equation is
y = mx + b
What is the slope for this function:
y = -2x -5
-2
Exponential functions have a constant ______ instead of a constant difference.
ratio
This point is also the maximum or minimum
vertex
Write an equation for this situation:
A bee colony starts with bees. Each day its population increases by 15%.
y = 50(1.15)2
How do you find slope when given a table of values?
The change in y over the change in x
What is the y-intercept in this function:
y=3(4)x
3
Which form is this quadratic equation:
y = 2(x - 5)(x + 2)
factored form
Write an equation for this situation:
Annabell has $150 in her savings account. Each month she adds $75.
y = 75x + 150