Algebra 5th Six Weeks Cumulative Flashcard Review

Front

What is the vertex of the parabola given by the equation y = 3(x + 5)² - 4?

Back

(-5, -4)

Front

What transformation changes the graph of f(x) = x² to g(x) = (x + 4)²?

Back

A horizontal translation 4 units to the left.

Front

Describe the graph of y = -3x² + 7x - 2.

Back

Opens down with a maximum.

Front

If f(x) = x², what is the equation of the graph that is 5 units down?

Back

g(x) = x² - 5.

Front

Find the vertex of the function f(x) = -x² - 4x + 12.

Back

(-2, 16)

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c.

Front

What does the 'a' value in a quadratic equation determine?

Back

The direction of the parabola (opens up if a > 0, opens down if a < 0).

Front

How do you find the vertex of a parabola in standard form?

Back

Use the formula x = -b/(2a) to find the x-coordinate, then substitute back to find the y-coordinate.

Front

What is the effect of adding a positive number to the x variable in a quadratic function?

Back

It results in a horizontal translation to the left.

Front

What is the effect of subtracting a positive number from the y variable in a quadratic function?

Back

It results in a vertical translation down.