Quadratics and Parabolas
If a parabola has x-intercepts at (2, 0) and (-3, 0) and a leading coefficient of 1, this is its equation in factored form.
What is y = (x-2)(x+3)
This is the equivalent radical form of x^(1/2)
What is sqrt(x?
This is the result of multiplying (x+5) and (x-5).
What is
x^2-25
In the slope-intercept form y = mx + b, the letter b represents this starting point on a graph.
What is the y-intercept?
This term refers to the set of all possible input values ($x$-values) for a function.
What is domain?
When a ball is thrown into the air, the "maximum height" corresponds to this specific point on the quadratic graph.
What is the vertex?
According to the Quotient Rule, when you divide x^8 by x^2 , this is the resulting expression.
What is
x^6
Factor
x^2+7x+10
What is
(x+2)(x+5)
If a taxi charges a flat fee of $5 plus $2 per mile, this is the linear equation representing the total cost C for m miles.
Just because two variables show a similar trend on a scatter plot does not mean one "caused" the other; this is a classic case of this statistical warning.
What is correlation does not imply causation?
In the context of a projectile's flight, these represent the moments when the object is at ground level.
What are the zeros (x-intercepts?)
In the function,
y=500(0.85)^x , the value indicates that the function is doing this.
What is decaying?
In the expression 250 + 10h, which represents a total cost, this part represents the "constant" or "initial fee."
What is 250?
If a line has a slope of 4, a line that is perpendicular to it must have this slope.
What is -1/4?
In the formula A=P(1+r)^t , the P stands for this initial amount of money invested.
What is the principal?
To solve the equation 3(x+4)=24, you would perform this operation first to isolate the parentheses.
What is division (by 3) or distribution?
To simplify sqrt(18) , you would factor out the largest perfect square resulting in this final expression.
What is 4.24 or
3sqrt(2)
When dividing 4x^3+2x^2 by 2x, this the simplified quotient.
What is
2x^2+x
When graphing the inequality y>2x+1, you should use this type of line and shade in this direction.
What is dashed and above?
This value is found by subtracting the predicted y-value (from the line of fit) from the actual observed y-value.
What is the residual?