# Graphs

## Mathematics General - Graphs

Straight Line Graphs Standard Form: $$y = mx + b$$ Features of a Straight Line Graph X-intercept: substitute $$y=0$$ Y-intercept: value of $$b$$ Transformations of a Straight Line Graph Vertical Translation Up: increase $$b$$ Vertical Translation Down: decrease $$b$$ Increase steepness: increase $$m$$ Decrease steepness: decrease $$m$$ Reflect in y-axis: $$m \times -1$$ Reflect in x-axis: $$y \times -1$$ AND $$m \times -1$$ Reflect in Main Diagonal $$(y=x)$$: switch y and x Horizontal Translation Left: increase $$b$$ Horizontal Translation Right: decrease $$b$$ Lines Parallel to the Axis Standard Form (parallel to x-axis): $$y=b$$ Standard Form (Parallel to y-axis): $$x=a$$ Transformations of Lines Parallel to the Axis Vertical translation up: Increase $$b$$ Vertical Translation Down: Decrease $$b$$ Horizontal Translation Left: Decrease $$a$$ Horizontal Translation Right: Increase $$a$$ Parabolas General Form: $$y=ax^2 + bx + c$$ Features of a Parabola X-Intercepts (not always present): intersects of parabola and $$y=0$$ Y-Intercept: intersects of parabola $$x=0$$.
Mastodon