Graphing Quadratics in Standard Form

Front

What is the y-intercept of the function f(x) = -2x² + 4x - 6?

Back

(0, -6)

Front

Identify A, B, and C in the equation y = 3x² - 8 + 5x.

Back

A=3, B=5, C=-8

Front

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

Back

y-intercept

Front

What is the axis of symmetry for the function f(x) = x² - 8x + 15?

Back

x = 4

Front

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

Back

x = -b / (2a)

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c

Front

What does the coefficient 'a' indicate about the parabola's direction?

Back

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

Front

How do you find the vertex of a parabola in standard form?

Back

Vertex = (-b/(2a), f(-b/(2a)))

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b² - 4ac) determines the number of real roots.

Front

What are the roots of the quadratic equation f(x) = 0?

Back

The values of x where the parabola intersects the x-axis.