Graphing Quadratic Equations in All Forms

Front

What is the formula to find the axis of symmetry of a parabola?

Back

x = -b / (2a)

Front

Identify the vertex and whether the graph opens up or down for the equation y = (x + 2)² - 1.

Back

Vertex: (-2, -1); opens up

Front

Which of the following is the correct equation for the graph that opens upwards and has a vertex at (-2, -1)?

Back

f(x) = (x + 2)² - 1

Front

What does the 'c' represent in the quadratic equation y = ax² + bx + c?

Back

y-intercept

Front

What do we call the highest or lowest point of a quadratic?

Back

Vertex

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c

Front

How can you determine if a parabola opens upwards or downwards?

Back

If 'a' > 0, it opens upwards; if 'a' < 0, it opens downwards.

Front

What is the vertex form of a quadratic equation?

Back

y = a(x - h)² + k, where (h, k) is the vertex.

Front

What is the significance of the 'a' value in a quadratic equation?

Back

It determines the direction and width of the parabola.

Front

How do you find the x-intercepts of a quadratic equation?

Back

Set y = 0 and solve for x.