“Vertex / Maximum / Minimum” Explained https://www.youtube.com/watch?v=XHOmBV4js_E Highest or lowest point. Key Idea: Vertex / Maximum / Minimum The vertex of a parabola is its highest or lowest point, depending on how it opens. General Rule: For a quadratic function y=ax^2+bx+c: x=−(b/2a) gives the x-coordinate of the vertex. If a>0, the parabola opens up, and the vertex is a minimum. If a<0, the parabola… Continue reading “Vertex” Explained
“Quadratic Formula” Explained https://www.youtube.com/watch?v=XHOmBV4js_E – – –
“X-Intercept” Explained https://www.youtube.com/watch?v=XHOmBV4js_E Where, y=0. Key Idea: X-Intercept The x-intercept is the point where a graph crosses the x-axis.At this point, the y-value is 0. General Rule: To find the x-intercept, set y=0 in the equation and solve for x. The result gives the x-coordinate of the intercept. Written as a point: (x,0). Why this matters… Continue reading “Intercept” Explained
“Volume” Explained https://www.youtube.com/watch?v=XHOmBV4js_E 3 dimensions multiplied. Check the reference sheet for formulas. Key Idea: Volume Volume measures the amount of space a 3D figure occupies.It involves three dimensions multiplied together. General Rule: Volume = Base Area × Height Different 3D shapes have specific formulas (listed on the SAT Reference Sheet). Units are always cubic (e.g.,… Continue reading “Volume” Explained
“Translating Left and Right” Explained https://www.youtube.com/watch?v=XHOmBV4js_E Put parentheses around x and if it translates right put a negative sign before the number of units. If it translates left put a positive sign before the number of units. Key Idea: Translating Left and Right Translating a graph left or right means shifting it horizontally on the… Continue reading “Translations” Explained
“System of Equations” Explained https://www.youtube.com/watch?v=XHOmBV4js_E Plug into DESMOS, then look for intersection. Key Idea: System of Equations A system of equations is a set of two or more equations with the same variables.The solution is the point(s) where the equations are simultaneously true. General Rule: Solve by substitution, elimination, or graphing. Graphically, the solution is… Continue reading “Systems” Explained
“Surface Area” Explained https://www.youtube.com/watch?v=XHOmBV4js_E Found by adding all the surface shape areas together. Key Idea: Surface Area Surface area is the total area of all the faces (or surfaces) of a 3D figure. General Rule: Surface Area = Sum of the areas of all faces For prisms and pyramids: add the areas of all flat… Continue reading “Surface Area” Explained
“Supplementary Angles” Explained https://www.youtube.com/watch?v=XHOmBV4js_E 180∘ Key Idea: Supplementary Angles Supplementary angles are two angles whose sum is 180°.They often appear as angles that form a straight line. General Rule: Angle 1 + Angle 2 = 180∘ Each angle is called the supplement of the other. Can be used to find a missing angle when one… Continue reading “Magic Number 180” Explained
“Quadratic Function” Explained https://www.youtube.com/watch?v=XHOmBV4js_E Function that looks like a “u” when graphed. Has 3 forms standard, factor and vertex form. Key Idea: Quadratic Function A quadratic function is a function that creates a U-shaped graph called a parabola.It represents equations where the highest power of x is 2. General Rule: Quadratic functions can be written in three main forms: Standard… Continue reading “Quadratic Functions” Explained
“Standard Deviation” Explained https://www.youtube.com/watch?v=XHOmBV4js_E A measure of how far apart numbers are from the average. Key Idea: Standard Deviation Standard deviation measures how spread out the numbers in a data set are from the mean (average). General Rule: A small standard deviation → numbers are close to the mean. A large standard deviation → numbers… Continue reading “Standard Deviation” Explained
