Standard and Vertex form
of a Quadratic
of a Quadratic
The function y = 2(x-3)2+5 is in Vertex Form and has this vertex.
What is (3, 5)?
What is set each factor equal to 0?
y = x3+3x is this type of polynomial.
What is a cubic binomial?
What is factoring?
This number is defined as the square root of -1.
The function y = 2x2+16x is in Standard form and has this vertex.
What is (-4, -32)?
Factor x2+5x-24
What is (x-3)(x+8)?
(x2-3x) - (x2+3x) =
What is -6x?
b2-4ac is called this.
What is the Discriminant?
(3+2i) - (2-4i)=
What is 1+6i
The equation for a rocket's height compared to the time in seconds can be written as y = - 16x² + 32x + 48 where y represents height and x represents time. The rocket will reach the ground at this time.
What is 3 seconds?
Factor 4x2-64
What is (2x-8)(2x+8)?
This is the first step to multiply three polynomials together.
What is FOILing the first two?
If the discriminant has this value, the equation has 1 real solution.
What is 0?
(3+i)(2+3i)=
What is 3+11i?
The function y = -2(x-32)2+42 has had these 4 transformations compared to the parent function y=x2.
What are: reflection, vertical stretch, right by 32, up by 42?
Find the solutions to 3x2+13x+10=0 by factoring.
What are x = -10/3 and -1?
A function is this if it is above the x-axis on a certain x-interval.
What is positive?
The square root of 44 simplifies to this value.
What is 2 times the square root of 11?
The equation (x-2)2+2=22 has these solutions.
The function y = x2+10x-4 written in vertex form is this.
What is y = (x+5)2-29?
Find the zeros to y=10x2+13x+4 by factoring.
What are x=-4/5 and x=-1/2?
A function with odd degree and a negative leading coefficient behaves this way as x→ -∞
What is y → ∞?
The equation x2+2x+12 has these solutions.
What are x = -1 + i _/11 and -1 - i _/11?
This information in the Quadratic Formula tells us that a function has two Complex Solutions.
What is a negative Discriminant?