What Are Linear & Quadratic Equations? 🚀
**Linear equations** create a straight line when graphed. They are in the form $$y = mx + b$$, where **m** is the slope and **b** is the y-intercept.
**Quadratic equations** create a parabola, a U-shaped curve. They are in the form $$y = ax^2 + bx + c$$. The value of **a** determines if the parabola opens up or down.
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Video: Graphing a Linear Equation 🎬
This video will show you how to graph a line using its slope and y-intercept.
Video: Graphing a Quadratic Equation 🎬
This video will show you how to find the vertex of a parabola.
Practice Problems
Solve the following problems and check your answers. For graphing, use integer points.
1) What is the y-intercept?
$$y = 2x + 3$$
$$y = 2x + 3$$
y-intercept:
2) What is the slope?
$$y = -x + 4$$
$$y = -x + 4$$
slope:
3) Find the vertex's x-coordinate
$$y = x^2 - 4x + 1$$
$$y = x^2 - 4x + 1$$
x-coord:
4) Find the vertex's x-coordinate
$$y = -2x^2 - 8x + 5$$
$$y = -2x^2 - 8x + 5$$
x-coord:
⚡ Graphing Speed Quiz
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