A2 Unit 3 Pre-Test Flashcard

Front

What is the effect of adding a constant to a function?

Back

Adding a constant to a function shifts the graph of the function vertically. For example, if h(x) = f(x) + 2, the graph of h(x) is the graph of f(x) shifted up by 2 units.

Front

How do you determine the initial value from a graph of acceleration vs. time?

Back

The initial acceleration can be found by looking at the value of the acceleration at time t = 0 seconds on the graph.

Front

What does the acceleration of a space shuttle represent in a graph?

Back

The acceleration of a space shuttle represents the rate of change of its velocity over time, measured in meters per second squared (m/s²).

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the value of the variable into the function's equation and simplify.

Front

What is the general equation of a circle in the coordinate plane?

Back

The general equation of a circle with center (h, k) and radius r is (x - h)² + (y - k)² = r².

Front

What does the term 'function' mean in mathematics?

Back

A function is a relation that assigns exactly one output for each input from its domain.

Front

How do you find the value of a new function defined in terms of another function?

Back

To find the value of a new function defined as k(x) = j(x) + c, first find j(x) for the given x, then add c to that value.

Front

What is the significance of the center and radius in the equation of a circle?

Back

The center (h, k) indicates the location of the circle in the coordinate plane, while the radius r determines the size of the circle.

Front

How can you interpret the slope of a graph representing acceleration?

Back

The slope of a graph representing acceleration indicates how quickly the acceleration is changing over time.

Front

What is the relationship between position, velocity, and acceleration?

Back

Position is the location of an object, velocity is the rate of change of position, and acceleration is the rate of change of velocity.