Parabolas in the real world
This common household item uses a parabolic shape to reflect and focus light
What is a car headlight?
The highest power of 𝒳 in the equation of a parabola is this number
What is the number 2
Factoring an equation allows us to find these points on a graph
What are the X-intercepts
The equation (X+P)(X+Q)=0 is an example of this form
What is a factored form
This step ensures your factorization is correct by reversing the process.
What is checking with FOIL?
Parabolas model these kinds of paths in physics
What is projectile motion
The points where a graph crosses the X-axis are called this
What are the x-intercepts?
The process of rewriting an equation as a product of binomials is called this.
What is factoring
If the factored form if an equation is (X+1)(X-4)=0 the X intercepts are these values
What is -1 and 4
This is what you do to verify if the X-intercepts make sense in the graph
What is check your graph
These devices use a parabolic shape to receive signals from space
What are satellite dishes?
In the equation y = x2+3 the parabola has been shifted in this way
What is up 3 units
If y = AB, the only way for y to equal 0 is if this is true
What is either A=0 or B=0
When you solve (x+1)(x-4)=0 you set each of the binomials equal to this
What is zero
If your factored equation is (X+2)(X+2)=0 The x-intercepts must be this value
What is -2?
The amusement park ride often follows a parabolic path
What is a roller coaster?
In the equation y = (x+4)2 the parabola has been shifted in this way
What is left 4 units
This method is used to multiply two binomials
What is FOIL (First, Outer, Inner, Last)?
The X-intercepts found by solving (x+2)(x-5)=0 are these numbers
What are -2 and 5
Plugging the x-intercepts into the original equation gives this result
What is y = 0.
This term describes the shape of the path of a flying rocket-ship or cannonball
What us a parabolic trajectory
This term describes functions whose graphs are parabolas
What is quadratic
To factor X2+3x-4 you need two numbers that multiply to -4 and add up to this number
What is 3
This pair of numbers multiplies to -4 and adds up to 3
What are 4 and -1
Verifying that the parabola crosses the X-axis at the intercepts involves drawing this.
What is the new graph of the moved parabola?