Quadratic
Midpoint
Polynomicals
Inequalities
Pythagorean Theorem
100
How to find the vertex?
First Get the equation in the form y = ax2 + bx +
Second Calculate -b / 2a. This is the x-coordinate of the vertex.
Third To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y.
100
How to find midpoint?
First, add the x coordinates and divide by 2. This gives you the x-coordinate of the midpoint, xM
Second, add the y coordinates and divide by 2. This gives you the y-coordinate of the midpoint, yM
Take each result to get the midpoint. In this example the midpoint is (9, 5)
100
What is a polynomials?
a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation.
100
What is a Inequalities
a statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.
100
What is Pythagorean Theorem ?
a fundamental relation in Euclidean geometry among the three sides of a right triangle.
200
What is the vertex?
a point of where the first derivative of curvature is zero.
200
what is the midpoint?
coordinates of the midpoint
=coordinates of the first point
=coordinates of the second point
200
How to solve for Polynomials ?
first write it in standard form. Once it is equal to zero factor it and then set each variable factor equal to zero.
200
What is an inequality in a math equation?
a mathematical sentence that uses greater than, less than, is not equal to, etc.
200
How to solve for pythagorean theorem?
Step 1: Identify the values of a, b, and c.
Step 2: Plug a, b, and c into the Pythagorean Theorem.
Step 3: Simplify the equation.
Step 4: Solve for the missing value.
300
What is the X-interecpt
Distance/time or other x representations hits the ground/water height=0 return.
300
What is a midpoint of a number?
the point that is located directly midway between the two points.
300
how to multiply polynomials?
first multiply each term in one polynomial by each term in the other polynomial.
Second add those answers together, and simplify if needed.
300
How to graph Inequalities
First Rearrange the equation so "y" is on the left and everything else on the right.
Second Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
Third Shade above the line for a "greater than" (y> or y≥) or below the line for a "less than" (y< or y≤).
300
How do you find the pythagorean ?
c=√a2+b2.
a=√c2−b2.
b=√c2−a2.
400
What is the Y-intercepts
initial height take off start.
400
why is the midpoint important
When one is required to find the exact center point between two defined points.
400
how to subtract polynomials?
Step 1: Arrange the polynomials in their standard form.
Step 2: Place the polynomial next to each other horizontally.
Step 3: Change the signs of the second polynomial through the parentheses to its opposite sign.
Step 4: Separate the like terms and arrange them together.
400
What are system inequalities
a set of two or more inequalities in one or more variables.
400
how to do pythagorean theorem when b is missing?
the square root of the squared hypotenuse minus the square of side a.
500
If the parabola is up and down how to find the vertex?
min or max
500
when do you calculate the midpoint?
When given the end points of a line segment
500
How to add polynomials?
Step 1 Arrange each polynomial with the term with the highest degree first then in decreasing order of degree. Step 2 Group the like terms. Like terms are terms whose variables and exponents are the same. Step 3: Simplify by combining like terms.
500
How do you solve systems of inequalities?
Step 1: Solve the inequality for y. Step 2: Graph the boundary line for the inequality. Step 3: Shade the region that satisfies the inequality. Step 4: Solve the second inequality for y. Step 5: Graph the boundary line for the second inequality. Step 6: Shade the region that satisfies the second inequality.
500
How do you find C in the Pythagorean theorem?
The hypotenuse formula is simply taking the Pythagorean theorem and solving for the hypotenuse.