4.1-4.3 flashcard

Front

What is the axis of symmetry for a parabola with vertex at (-3, 2)?

Back

x = -3

Front

What is the vertex of the parabola represented by the point (4, -4)?

Back

(4, -4)

Front

Find the x-intercepts of the equation 2(x + 5)(x + 1) = 0.

Back

x = -5, -1

Front

Find the vertex of the parabola represented by the equation y = x^2 - 2x - 5.

Back

V(1, -6)

Front

Solve for h in the equation (h - 2)^2 = 9.

Back

h = 5, -1

Front

What is the standard form of a parabola?

Back

y = a(x - h)^2 + k, where (h, k) is the vertex.

Front

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

Back

Use the formula h = -b/(2a) and k = f(h).

Front

What are the x-intercepts of a quadratic function?

Back

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

Front

What does the 'a' value in the quadratic equation y = ax^2 + bx + c indicate?

Back

It determines the direction and width of the parabola.

Front

What is the significance of the vertex in a parabola?

Back

It represents the maximum or minimum point of the parabola.