This week in precalc we learned about the key points in standard form/vertex form and how to use them to graph a quadratic equation.

the equation is

The coefficient a shows the stretch of the parabola if a = 1 its the  1-3-5 pattern, if a>1 the parabola gets skinner and if |a|<1 it gets wider. If a has a negative sign in front of it that means that it opens downwards.

The p is the horizontal translation, it shows if it moves to the right or the left of the graph. When it +p it’s moved to the left, but when it’s -p it’s moved to the right.

The q is the vertical translation, when its positive it’s moved upwards and when it’s negative it’s moved down the graph.

Also we can find the vertex it’s (p,q)