PSAT Math Study Guide
Distance between two points - Correct Answers-d = √(x2-x1)² + (y2-y1)²
Intersecting Points: rep. a value for each var. and ind. var. (x,y) - Correct Answers-Plug in the
variables in order to solve for one variable then plug in again to find the other variable.
zeros of quadratic equation - Correct Answers-Set (x+a) and (x+b)=0 and solve for x.
Find the zeros of f(x) - Correct Answers-Set function equal to 0. Factor or use quadratic
equation if quadratic.
Midpoint of a Parabola - Correct Answers-Point that goes inbetween a parabola, between the x
intercepts and goes through the vertex.
Plus/Minus Sign - Correct Answers-±; Every Positive Number Has 2 Square Roots, When Taking
Square Root You Must Include ± When Solving
Vertex - Correct Answers-the lowest or highest point on a parabola
Rules of Vertex Form - Correct Answers--Vertex Form: f(x)=a(x-h)^2+k
-If a is + in f(x)=a(x-h)^2 + k the Parabola opens Upward
-If a is - in f(x)=a(x-h)^2 + k the Parabola opens Downward
Solve For Vertex Using Vertex Form - Correct Answers--Vertex Form: f(x)=a(x-h)^2+k
-Set (x-h)^2 = 0
-Solve for x
-x makes a(x-h)^2 = 0 so y=k
-V=(h,k)
Graphing Quadratics Using Vertex Form - Correct Answers--Vertex Form: f(x)=a(x-h)^2+k
-Solve for the vertex (x-h)^2=0 x=h y=k
-To Find X Intercepts you must use 1 number above and 1 number below x and plug in to solve
for y. If x=2 use x=1 & x=3, plug them in and find their y values and that is your x intercepts.
Quadratic Standard Form - Correct Answers-ax^2+bx+c=0
Solving Quadratics by Factoring w/ Grouping - Correct Answers--Look for x+y=b x*y=cz
Distance between two points - Correct Answers-d = √(x2-x1)² + (y2-y1)²
Intersecting Points: rep. a value for each var. and ind. var. (x,y) - Correct Answers-Plug in the
variables in order to solve for one variable then plug in again to find the other variable.
zeros of quadratic equation - Correct Answers-Set (x+a) and (x+b)=0 and solve for x.
Find the zeros of f(x) - Correct Answers-Set function equal to 0. Factor or use quadratic
equation if quadratic.
Midpoint of a Parabola - Correct Answers-Point that goes inbetween a parabola, between the x
intercepts and goes through the vertex.
Plus/Minus Sign - Correct Answers-±; Every Positive Number Has 2 Square Roots, When Taking
Square Root You Must Include ± When Solving
Vertex - Correct Answers-the lowest or highest point on a parabola
Rules of Vertex Form - Correct Answers--Vertex Form: f(x)=a(x-h)^2+k
-If a is + in f(x)=a(x-h)^2 + k the Parabola opens Upward
-If a is - in f(x)=a(x-h)^2 + k the Parabola opens Downward
Solve For Vertex Using Vertex Form - Correct Answers--Vertex Form: f(x)=a(x-h)^2+k
-Set (x-h)^2 = 0
-Solve for x
-x makes a(x-h)^2 = 0 so y=k
-V=(h,k)
Graphing Quadratics Using Vertex Form - Correct Answers--Vertex Form: f(x)=a(x-h)^2+k
-Solve for the vertex (x-h)^2=0 x=h y=k
-To Find X Intercepts you must use 1 number above and 1 number below x and plug in to solve
for y. If x=2 use x=1 & x=3, plug them in and find their y values and that is your x intercepts.
Quadratic Standard Form - Correct Answers-ax^2+bx+c=0
Solving Quadratics by Factoring w/ Grouping - Correct Answers--Look for x+y=b x*y=cz
