2.3 and 2.4

Front

What does the equation y = (x - 3)² indicate about the graph's movement?

Back

The graph moves to the RIGHT 3 units.

Front

Describe the transformation represented by f(x) - 1.

Back

The graph moves DOWN 1 unit.

Front

If f(x) = x², what is the equation of the graph that moves 3 units to the right?

Back

g(x) = (x - 3)².

Front

What is the y-intercept of the graph of the equation y = mx + b?

Back

The y-intercept is the value of b.

Front

How do you find the maximum height of a projectile given the equation h(t) = -16t² + 18t + 6?

Back

Use the vertex formula t = -b/(2a) to find the time at maximum height.

Front

What is the vertex of the parabola represented by the equation y = ax² + bx + c?

Back

The vertex can be found at the point (-b/(2a), f(-b/(2a))).

Front

What does a positive 'a' value in the equation y = ax² + bx + c indicate about the graph?

Back

The graph opens upwards.

Front

What does a negative 'a' value in the equation y = ax² + bx + c indicate about the graph?

Back

The graph opens downwards.

Front

What is the effect of adding a constant to the function f(x)?

Back

It shifts the graph vertically.

Front

What is the effect of subtracting a constant from the function f(x)?

Back

It shifts the graph vertically downwards.