Graphing Quadratic Functions

Front

What is the y-intercept of the quadratic function y = x² - 6x + 5?

Back

(0, 5)

Front

Does the equation Y = -3x² + 7x - 2 open up or down?

Back

down

Front

What is the vertex of the quadratic function y = x² + 16x + 71?

Back

V(-8, 7)

Front

What is the name of the form y = ax² + bx + c?

Back

standard form

Front

Find the vertex of the quadratic function y = -2x² + 4x + 3.

Back

(1, 5)

Front

What is the general shape of a quadratic function?

Back

A parabola.

Front

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

Back

The direction of the parabola (upward if a > 0, downward if a < 0).

Front

How do you find the axis of symmetry for a quadratic function?

Back

x = -b/(2a).

Front

What is the vertex form of a quadratic function?

Back

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

Front

What is the effect of changing the value of 'b' in the standard form of a quadratic function?

Back

It affects the position of the vertex and the axis of symmetry.