Algebra 2 Quadratics

Front

What is the vertex of the parabola: y=2(x-3)²+4?

Back

(3,4)

Front

Find the y-intercept of f(x) = 2x² - 2x + 1.

Back

1

Front

What is the vertex of the parabola: y = 3(x + 5)² - 4?

Back

(-5, -4)

Front

Explain the translation of the function: y = (x + 9)² + 5.

Back

translated left 9, up 5

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c, where a, b, and c are constants.

Front

What does the 'a' value in the quadratic equation affect?

Back

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

Front

How do you find the axis of symmetry for a parabola given by y = ax² + bx + c?

Back

The axis of symmetry is given by x = -b/(2a).

Front

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

Back

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

Front

What is the y-intercept of a quadratic function?

Back

The y-intercept is the value of f(0), which is the point where the graph intersects the y-axis.

Front

What is the effect of the 'c' value in the quadratic equation?

Back

The 'c' value represents the y-intercept of the parabola.