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MATH FINAL
Math formulas
| Question | Answer |
|---|---|
| Absolute value function | y = a | x - h | + k |
| In the absolute value function , what does a , h, and k stand for? | a = steepness of the V h = shift to the right or to the left k = shift up |
| Square root parent function | y = square root of x |
| How many solutions can a linear system have ? | 0 , 1, or ♾️ |
| How many solutions does a parallel line have in a linear function? | 0 |
| How many solutions does an intersecting line have in a linear function? | 1 |
| How many solutions do conciding lines have in a linear function? | ♾️ |
| What type of slope does a horizontal line have and what is its fraction? Is there in change in x or y at all? | slope = 0 0 over change in x no change in y |
| What type of slope does a vertical line have and what is its fraction? Is there in change in x or y at all? | slope = undefined change in y over 0 no change in x |
| Slope- intercept form and what it means | y = mx+b y = output "range", mx = constant rate of change; slope · x-value (Domain), b = y-intercept "start value" |
| In the slope-intercept form what do m & b stand for? | m = slope/rate of change b = y-intercept |
| Exponential function formula | y = a · b ( to the x ) |
| Geometric equation formula and what does it mean | f (n) = f (0) ·r ( to the n ) f = value of a term , (0) = term #, r = common ratio , f (0) = initial term |
| Vertex form of a quadratic and what it means | y = a (a-h) squared + k vertex - (h, k), a = stretch or shrink |
| Intercept form of a quadratic and what it means | y = a ( x - p ) ( x - q ) p & q are the x-intercepts , a = stretch or shrink |
| Standard form of a quadratic and what it means | y = ax squared + bx + c c = y-intercept , vertex = -b / 2a |
| Zeros equation for a quadratic formula | square root of h squared - c/a |
| If a parabola is rightside up, what is the value of the vertex ? | minimum value |
| If a parabola is upside down, what is the value of the vertex? | maximum value |
| Slope of a line equation | ( y2 - y1) / ( x2 - x1) |
| Standard form equation | Ax + By = C |