NC Math 4 Review for Final Part 1

Front

What are the green dots called?

Back

roots/x-intercepts

Front

Which could be the equation for g(x) if f(x)=x² is shown in blue?

Back

g(x) = 2x²

Front

How many roots does the function f(x) = x² have?

Back

2

Front

For f(x) = 2x² - 1, what is (f ° f)(-2)?

Back

97

Front

What is the solution to log₆(2x + 3) = 3?

Back

x = 106.5

Front

Define roots/x-intercepts in the context of a function.

Back

Roots/x-intercepts are the values of x for which the function f(x) = 0.

Front

What is the vertex of the parabola represented by f(x) = ax² + bx + c?

Back

The vertex is the point (h, k) where h = -b/(2a) and k = f(h).

Front

Explain the significance of the coefficient 'a' in a quadratic function.

Back

The coefficient 'a' determines the direction of the parabola (upward if a > 0, downward if a < 0) and its width.

Front

What does the term 'maximum' refer to in a quadratic function?

Back

The maximum is the highest point on the graph of the function, occurring at the vertex if the parabola opens downward.

Front

What does the term 'minimum' refer to in a quadratic function?

Back

The minimum is the lowest point on the graph of the function, occurring at the vertex if the parabola opens upward.