Linear Functions
What does the letters "m" and "b" represent in the formula:
y=mx+b
m-slope
b- y intercept
What is the graph of a quadratic function called?
Parabola
Does b>1 represent growth or decay?
Growth
What is the formula for slope-intercept form?
y=mx+b
What type of function has a constant rate of change?
Linear
A line has a slope of -4. Is it increasing or decreasing?
Decreasing
What is the highest or lowest point of a parabola called?
(HINT: There's Only One Answer)
Vertex
What value does an exponential graph approach but never touch?
Asymptote
What is the standard form of a quadratic function?
f(x)= ax2+bx+c
Which function has a U-shaped graph?
Find the slope of the line through (2,5) and (6,13).
m=2
Does y=−2x2+6x+5 have a maximum or minimum?
Maximum
Is y=5(0.2)x a growth or decay?
Decay
What formula is used to find the axis of symmetry?
x=-b/2a
Which function will always have a highest exponent of 2?
Write an equation with slope 3 and y-intercept -5.
y=3x-5
What is the axis of symmetry for y=x2−8x+3?
x=4
Identify the initial value in y=8(3)x.
8
What does each letter represent in this formula:
y= a*bx+k
a- the starting point
b- growth factor
k- asymptote
Name the 3 main parent functions that we've studied !
Linear, Exponential, Quadratic
A line passes through the points (2,3) and (8,15).
Write the equation of the line in slope-intercept form.
y=2x-1
A fireworks rocket is launched from the ground. Its height (in feet) after tt seconds is modeled by:
h(t)=−16t2+64t
How long does it take for the rocket to reach its maximum height?
64 Feet
A cup of hot chocolate starts at 6°C above room temperature. Every hour, the difference between the drink's temperature and room temperature becomes only 25% of what it was the previous hour. The room temperature is 2°C.
Write The Equation That Makes This Word Problem True.
y=6(0.25)x+2
Which two formulas work hand-in-hand?
a) y=mx+b
b) f(x)= a*bx+k
c) f(x)= ax2+bx+c
d) x=-b/2a
C and D
A basketball player shoots a ball from the ground. The height of the ball (in feet) after t seconds is modeled by the function:
h(t)=−16t2+32t
What type of graph will be reflected?
Upside Down Parabola/U