“Y-Intercept” Explained https://www.youtube.com/watch?v=XHOmBV4js_E Where, x=0. Key Idea: Y-Intercept The y-intercept is the point where a graph crosses the y-axis.At this point, the x-value is 0. General Rule: To find the y-intercept, set x=0 in the equation and solve for y. The result gives the y-coordinate of the intercept. Written as a point: (0,y). Why this matters… Continue reading “Y-Intercept” Explained
“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 “X-Intercept” Explained
“Which Is Equivalent To…” Explained https://www.youtube.com/watch?v=XHOmBV4js_E Which answer choice matches the given equation if you were to move things around using a valid order of operations. Key Idea: “Which Is Equivalent To…” These questions ask you to find the expression or equation that means the same thing as the original — after simplifying or rearranging… Continue reading “Which Is Equivalent To…” 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
“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… Continue reading “Vertex / Maximum / Minimum” Explained
“Value of a Function” Explained https://www.youtube.com/watch?v=XHOmBV4js_E Plug into one variable to solve for the other. Key Idea: Value of a Function The value of a function is the output you get when you substitute a number into the function’s variable. General Rule: Substitute the given input (usually x) into the function: f(x)=expression with x Plug… Continue reading “Value of a Function” Explained
“Two Solutions (Quadratic System)” Explained https://www.youtube.com/watch?v=XHOmBV4js_E Discriminant (b^2-4ac) is more than zero (a positive number). Key Idea: Two Solutions (Quadratic System) A quadratic system or equation has two real solutions when the discriminant is positive. General Rule: Discriminant formula: D=b^2−4ac If D>0, there are two distinct real solutions. On a graph, this means the parabola… Continue reading “Two Solutions (Quadratic System)” Explained
“Translating Up and Down” Explained https://www.youtube.com/watch?v=XHOmBV4js_E Put parentheses around y and if it translates up put a negative sign before the number of units. If it translates down put a positive sign before the number of units. Key Idea: Translating Up and Down Translating a graph up or down means shifting it vertically on the… Continue reading “Translating Up and Down” 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 “Translating Left and Right” Explained
“Times (Multiplying Decimals)” Explained https://www.youtube.com/watch?v=XHOmBV4js_E Turn coefficient to decimal form. Key Idea: Times (Multiplying Decimals) When multiplying, a coefficient can be converted to decimal form and multiplied directly. General Rule: Convert fractions or percentages to decimals if needed. Multiply the numbers as usual. Keep track of decimal places in the product. Why this matters for… Continue reading “Times (Multiplying Decimals)” Explained
