Algebra II 5.2 Vertex Form Worksheet Review

Flashcards covering key concepts from Algebra II, Section 5.2 on quadratic functions in vertex and standard forms, including identifying forms, finding vertices, axis of symmetry, opening direction, and max/min values.

What is the general structure of a quadratic function in vertex form?

y = a(x - h)^2 + k

What is the general structure of a quadratic function in standard form?

y = ax^2 + bx + c

For a quadratic function in vertex form, y = a(x - h)^2 + k, what are the coordinates of the vertex?

(h, k)

What formula is used to find the x-coordinate of the vertex for a quadratic function in standard form, y = ax^2 + bx + c?

x = -b / (2a)

Given a quadratic function in vertex form, y = a(x - h)^2 + k, what is the equation for the axis of symmetry?

x = h

How do you determine if the graph of a quadratic function y = a(x - h)^2 + k opens up or down?

If 'a' > 0, it opens up; if 'a' < 0, it opens down.

If a quadratic function's graph opens upwards, does it have a maximum or a minimum value?

A minimum value.

If a quadratic function's graph opens downwards, does it have a maximum or a minimum value?

A maximum value.

For a quadratic function in vertex form, y = a(x - h)^2 + k, what is the maximum or minimum value?

The y-coordinate of the vertex, 'k'.

How do you find the y-intercept of any quadratic function given its equation?

Substitute x = 0 into the equation and solve for y.