Write the formula for Slope-Intercept Form.
y=mx+b
Write the general form of a quadratic in all three forms.
y=a(x-h)^2+k
y=ax^2+bx+c
y=a(x-p)(x-q)
State the three other equivalent names for x-intercepts.
Roots
Solutions
Zeros
Write the polynomial in standard form then state the degree & leading coefficient.
f(x)=-7x^4+113x-10x^2-20x^3+6x^5
Degree: 5th & Leading Coefficient: 6
y=6x^5-7x^4-20x^3-10x^2+113x
How many sides are there on a standard pencil?
6
Write the formula for Point-Slope Form.
y-y1=m(x-x1)
Write an equation of a quadratic with a vertex at
(-7, 12)
y=a(x+7)^2+12
Simplify:
sqrt(-180)
6isqrt5
Describe the end behavior of the following polynomial in math notation.
y=-2x^7+12x^5-33x^2-50x+11
As x approaches negative infinity, y approaches infinity.
As x approaches infinity, y approaches negative infinity.
What is Mrs. Lewis's dog's name?
Pendlee
Write the following equation in Slope-Intercept Form:
4x+3y=-15
y=-4/3x-5
Find the vertex of the following Quadratic:
y=3x^2-12x+4
Vertex: (2, -8)
How many & what type of roots will the following quadratic have:
y=7x^2-13x+22
2 Imaginary Roots
Simplify. Write your final answer in standard form.
(-2-2x+7x^4+6x^3)+(8x-4x^3+8x^4+2)
15x^4+2x^3+6x
On a standard stop light, is the green light on the top or bottom?
Bottom.
Solve the linear system using an algebraic methos (either elimination or substitution):
x-14y=-8
-2x-7y=-19
(6,1)
Convert the following equations to intercept form:
y=3x^2+3x-60
x=-5
x=4
Solve for the x-intercepts.
y=-2x^2+28x-96
x=8
x=6
Simplify. Write your final answer in standard form.
(-4x-5x^4+x^3+6x^2)-(4x^2-x-x^4+4)
-6x^4+x^3+2x^2-3x-4
What is Mrs. Lewis's favorite animal?
Koala
Linear, Quadratic, Square Root, Absolute Value, Cubic, Quartic
Find the x-intercepts of the following quadratic:
y=x^2+3x-54
(-9, 0)
(6, 0)
Solve.
0=3(x-8)^2-27
x=11
x=5
Divide.
(x^5+x^4-69x^3-21x^2-22x-16)/(x-8)
x^4+9x^3+3x^2+3x+2
In which hand is the Statue of Liberty's torch?
Right hand.
State the parent function & describe all transformations done to it.
f(x)=-3(x-4)^2+7
Parent: Quadratic
Reflected over x-axis, stretched by 3, translated to the right 4, and translated up 7.
Bonus 100: What is the vertex?
Write the standard from equation of the quadratic that has a stretch of 2 and a vertex at
(-3, 5)
y=2x^2+12x+23
Solve for the roots:
y=7x^2+2x+3
x=(-1+2isqrt5)/7
x=(-1-2isqrt5)/7
Multiply.
(8x+5)(4x^2-7x+4)
32x^3-36x^2-3x+20
What was Mrs. Lewis's Halloween costume?
Parent Function!
More specifically the cubic parent function.
Write the equation for the function shown. Then state the domain & range.
f(x)=1/2|x+3|-2
Domain: All real numbers
Range: y>=-2
Write the equation of the quadratic that has a vertex at the first point & goes through the second point.
(-4, -6)
(2, 6)
y=1/3(x+4)^2-6
Caitlin threw a softball from a height of 19 feet with an initial velocity of 24 feet per second.
Write the equation that models this scenario.
What is the maximum height the softball reaches?
When will the softball hit the ground?
y=-16t^2+24t+19
h=28 feet
t=2.07 seconds
Multiply.
(x+4)(x+5)(x+1)
x^3+10x^2+29x+20
Whose face is on a dime?
Roosevelt