Quadratics: Vertex vs Standard Form

Front

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

Back

(-5, -4)

Front

Which equation represents the standard form of a quadratic?

Back

y = ax² + bx + c

Front

Convert the equation y = x² - 2x - 5 into vertex form.

Back

y = (x - 1)² - 6

Front

What is the vertex form of the function f(x) = x² + 12x - 2?

Back

f(x) = (x + 6)² - 38

Front

Identify 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 is the general form of a quadratic equation?

Back

y = ax² + bx + c

Front

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

Back

Use the formula (-b/2a, f(-b/2a)).

Front

What does the 'a' value in a quadratic equation indicate about the parabola?

Back

It indicates the direction of the opening (upward if a > 0, downward if a < 0).

Front

What is the axis of symmetry for the parabola given by y = 2x² + 4x + 1?

Back

x = -b/(2a) = -4/(2*2) = -1.

Front

Convert the vertex form y = a(x - h)² + k to standard form.

Back

y = a(x² - 2hx + h²) + k.