Quadratic Graphs
The number of zeros a quadratic function can have.
0, 1, or 2
Standard form:
y=ax2+bx+c
Find the vertex for:
y=x2+10x+6
(-5, -19)
y=1200(1.3)t
What is the percentage of growth?
30% growth
what is slope-intercept form?
y=mx+b
The shape of a quadratic function graphed is called:
a parabola
Vertex form:
y=a(x-h)2+k
What is the vertex?
(h, k)
Find the zeros for the following:
y=3(x-6)(x+4)
x=6 & x=-4
y=55(0.98)t
What is the percentage of Decay?
2% decay
what does the "b" represent in a linear function?
the y-intercept
The name of the line that divides a quadratic function exactly in half.
If a quadratic function opens down, the value of "a" has to be ___________?
Negative
What are the coordinates of the y-intercept & vertex for the quadratic function:
y=x2-4x+8
y-intercept: (0,8)
vertex: (2,4)
y=10(1.04)t
a. initial value
b. rate or growth or decay (as a %)
a. 10
4%
what does the "m" represent in a linear function?
the slope
The name of the turning point for a quadratic function.
The vertex.
The "c" value in standard form tells you what characteristic of the graph?
y = ax2 + bx + c
y-intercept
If f(x) = x2 , and g(x) = f(x + 2) - 6, what are the Transformations from f(x) to g(x).
left 2 and down 6
y=14000(0.92)t
a. initial value
b. rate or growth or decay (as a %)
a. 14000
b. 8%
rewrite the equation in slope-intercept form:
4x-y=6
y=4x-6
The other two names that x-intercepts can be called.
roots and zeros
If two solutions to a quadratic are x = 2/3 and x = -4, what could the factors be?
(3x - 2)(x + 4)
what is the value of h & k (the vertex)?
y=-2(x+5)2-6
h=-5 & k=-6
The first year of a charity walk event had an attendance of 500. The attendance y increases by 5% each year. How many people will attend in the 10th year? Round your answer to the nearest person.
814 people
A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service.
c=50h+25