When you're drawing non-linear graphs like quadratics, there are some easy steps that can really help:
Find the Vertex: In a quadratic function that looks like (y = ax^2 + bx + c), the vertex is the point where the graph changes direction. You can find it using the formula (x = -\frac{b}{2a}). This will tell you where to start!
Identify Intercepts: Look for the (y)-intercept by setting (x) to 0. Then find the (x)-intercepts by setting (y) to 0. These points are important for drawing your graph.
Use Symmetry: Quadratic graphs are symmetrical around the vertex. Once you draw one side of the graph, you can easily mirror it to complete the other side.
Plot Additional Points: Pick a few (x) values near the vertex to see how the graph behaves. This will make your graph more accurate.
Following these steps will really help your sketch come alive!
When you're drawing non-linear graphs like quadratics, there are some easy steps that can really help:
Find the Vertex: In a quadratic function that looks like (y = ax^2 + bx + c), the vertex is the point where the graph changes direction. You can find it using the formula (x = -\frac{b}{2a}). This will tell you where to start!
Identify Intercepts: Look for the (y)-intercept by setting (x) to 0. Then find the (x)-intercepts by setting (y) to 0. These points are important for drawing your graph.
Use Symmetry: Quadratic graphs are symmetrical around the vertex. Once you draw one side of the graph, you can easily mirror it to complete the other side.
Plot Additional Points: Pick a few (x) values near the vertex to see how the graph behaves. This will make your graph more accurate.
Following these steps will really help your sketch come alive!