Algebra 5th Six Weeks Cumulative Flashcard Review

Front

What is the y-intercept of the function f(x) = 2x² - 2x + 1?

Back

The y-intercept is 1.

Front

What is the equation for the axis of symmetry of f(x) = (x + 1)² + 5?

Back

The equation for the axis of symmetry is x = -1.

Front

If the graph of g is a translation 2 units down and 4 units left of f(x) = x², what is the rule for g?

Back

g(x) = (x + 4)² - 2.

Front

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

Back

The vertex is (-5, -4).

Front

How many solutions does the graph of a function have if it does not intersect the x-axis?

Back

It has no solutions.

Front

Define the vertex of a parabola.

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

What does the axis of symmetry represent in a parabola?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves.

Front

How do you find the y-intercept of a quadratic function?

Back

Set x = 0 in the function and solve for y.

Front

What is the standard form of a quadratic function?

Back

The standard form is f(x) = ax² + bx + c.

Front

What effect does the 'a' value in the quadratic function f(x) = ax² + bx + c have on the graph?

Back

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