EXTRA CREDIT 5th hour

Front

What is the equation of a line with a slope of 2 and a y-intercept of 3?

Back

y = 2x + 3

Front

What transformation does g(x) = |x - 2| represent compared to the parent function f(x) = |x|?

Back

It represents a horizontal shift to the right by 2 units.

Front

In the quadratic equation y = ax^2 + c, what does a < 0 indicate about the direction of the parabola?

Back

The parabola opens downwards.

Front

What is the maximum value of a parabola if the vertex is at (0, 5)?

Back

The maximum value is 5.

Front

Which equation represents a linear relationship where y increases by 5 for every increase of 1 in x?

Back

y = 5x + b (where b is the y-intercept).

Front

What is the parent function of absolute value?

Back

f(x) = |x|.

Front

If a parabola opens upwards, what can be said about the value of a in the equation y = ax^2 + c?

Back

The value of a is positive.

Front

What does the vertex of a parabola represent?

Back

The vertex represents the maximum or minimum point of the parabola.

Front

How do you determine if a quadratic function has a maximum or minimum value?

Back

Check the sign of the coefficient a in the equation y = ax^2 + bx + c.

Front

What is the effect of adding a constant to the absolute value function, such as g(x) = |x| + 2?

Back

It shifts the graph vertically upwards by 2 units.