Alg- Quadratic Key Attributes and Alg Review

Front

What is the point-slope form of a linear equation?

Back

The point-slope form is given by the equation y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves. It can be found using the formula x = -b/(2a) for a quadratic equation in the form ax^2 + bx + c.

Front

What are the roots or x-intercepts of a quadratic function?

Back

The roots or x-intercepts are the points where the graph of the quadratic function crosses the x-axis. They can be found by solving the equation ax^2 + bx + c = 0.

Front

How do you convert the standard form of a linear equation to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y in terms of x.

Front

What is the minimum value of a quadratic function?

Back

The minimum value occurs at the vertex of the parabola when it opens upwards. It can be found using the vertex formula y = f(-b/(2a)).

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive or negative).

Front

What is a parabola?

Back

A parabola is a U-shaped graph that represents a quadratic function. It can open upwards or downwards depending on the coefficient of the x^2 term.

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point on the graph of a parabola. It can be found using the formula (-b/(2a), f(-b/(2a))).

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It represents the value of y when x = 0.

Front

How do you find the y-intercept from a linear equation in standard form?

Back

To find the y-intercept from Ax + By = C, set x = 0 and solve for y.