Linear Functions
What is the slope-intercept form?
y=mx+b
What kind of function shapes a parabola on a graph?
Quadratic
What are the two equations we use for exponential functions?
f(x)=a(b)^x
f(x)=a(1±%)^x
What is another name for the roots?
The Zeros
What is the min/max?
The highest/lowest point of the parabola
Change this into the correct form:
2y=8x+2
y=4x+1
Would the graph of this function be negative or positive?
y=-1/2x+3
Negative
What is the starting point in this equation:
f(x)=4(8)^x
4
What are the roots/zeros?
Where the parabola crosses the x-axis
What is the equation to find the axis of symmetry?
-b/2a
Bob starts out with 5 muffins. He bakes 2 muffins every hour. What would this equation look like?
y=2x+5
What would be the y-intercept of this function?
f(x)=50x+250
250
Xena buys a car for $55,000 in June. Every month the cars value decreases by 5%. What would this function look like?
f(x)=55,000(.95)^x
What is the quadratic formula?
-b±√ b^2(-4)(a)(c)/2a
What is the axis of symmetry of this equation?
y=3x^2+12x+6
x=-2
Bobby has 350 watermelons in his backyard. He has been having a rabbit problem and every day the rabbits eat 10 watermelons. How many watermelons will be left after 1 week?
280 Watermelons
What would be the y-intercept of this function?
y=8(55)^x
8
Bobita has 54 chocolate bars. She buys double the amount of chocolate every day. How many chocolate bars would she have in 4 days?
864 chocolate bars
What is the discriminant?
b^2(-4)(a)(c)
What is the vertex of this equation?
y=x^2-2x-24
(1,-25)
Jimmy owns a bakery and starts out with 200 donuts. Every 30 minutes he makes 16 donuts. How many donuts would he have if he baked for 3 hours but then sold 5?
291 donuts
Felisha has 1500 pencils but she wants to downsize so she starts selling 30 pencils a day. Would this graph be negative or positive? What would be the slope of the graph?
Negative
Slope=-30
Jean buys two cars, car A for 30,000 and car B for $40,000. Car A's value increases at 30% each day and car B's value decreases at 20% each day. What would be each cars value after 5 days? ( Round to the nearest whole number )
Car A= $111,388
Car B= $13,107
What are the roots/zeros for this equation?
y=x^2+15x+50
{-10,-5}
How do you find the vertex without desmos?
Plug the axis of symmetry number back into the equation as the variable x to get the y number in the coordinate.