Graphing Quadratics

Front

What is the vertex of the parabola represented by the equation y = -5x² - 20x - 26?

Back

(-2, -6)

Front

What are the x-intercepts of the quadratic equation y = -5x² - 20x - 26?

Back

x = 0 and x = 4

Front

If a parabola has a vertex at (-3, 2), what is the equation of the axis of symmetry?

Back

x = -3

Front

What is the formula to find the axis of symmetry for a quadratic equation in the form y = ax² + bx + c?

Back

x = -b/(2a)

Front

What is the equation for the axis of symmetry if the vertex is at (3, 0)?

Back

x = 3

Front

How do you find the y-coordinate of the vertex in a quadratic equation?

Back

Substitute x = -b/(2a) into the equation.

Front

What does the 'a' value in the quadratic equation y = ax² + bx + c determine about the parabola?

Back

It determines the direction of the parabola (opens up if a > 0, opens down if a < 0).

Front

What is the significance of the vertex in a parabola?

Back

It represents the highest or lowest point of the parabola.

Front

How can you determine if a quadratic function has real x-intercepts?

Back

By calculating the discriminant (b² - 4ac); if it's positive, there are two real x-intercepts.

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c