Key Features of Quadratics - Equations and Graphs

Front

What is the vertex of the parabola: y = -12x + 22 + 2x²?

Back

(3,4)

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c

Front

What is the vertex of y = x² + 4x + 3?

Back

(-2,-1)

Front

What is the axis of symmetry of y = 2x² - 4x + 9?

Back

x = 1

Front

What is the equation of the axis of symmetry for a parabola?

Back

x = -b/(2a) where the equation is in the form y = ax² + bx + c.

Front

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

Back

The coefficient 'a' determines the direction and width of the parabola.

Front

If 'a' is positive in a quadratic equation, what is the direction of the parabola?

Back

The parabola opens upwards.

Front

If 'a' is negative in a quadratic equation, what is the direction of the parabola?

Back

The parabola opens downwards.

Front

What is the formula to find the vertex of a parabola given in standard form?

Back

Vertex (h, k) where h = -b/(2a) and k = f(h).

Front

What is the significance of the y-intercept in a quadratic equation?

Back

The y-intercept is the point where the graph intersects the y-axis, found by setting x = 0.