Ch 3 Practice Test

Front

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

Back

The point-slope form of a linear equation is given by: y - y_1 = m(x - x_1), where (x_1, y_1) is a point on the line and m is the slope.

Front

How do you find the slope of a line perpendicular to another line?

Back

To find the slope of a line perpendicular to another line, take the negative reciprocal of the slope of the original line.

Front

What is the axis of symmetry for a parabola given by the equation y = ax^2 + bx + c?

Back

The axis of symmetry can be found using the formula x = -\frac{b}{2a}.

Front

How do you find the vertex of a parabola?

Back

The vertex of a parabola can be found using the axis of symmetry to determine the x-coordinate, and then substituting that value back into the equation to find the y-coordinate.

Front

What is the formula for the height of an object in projectile motion?

Back

The height h of an object in projectile motion can be modeled by the equation h(t) = -4.9t^2 + vt + h_0, where v is the initial velocity and h_0 is the initial height.

Front

What does the range of a function represent?

Back

The range of a function represents all possible output values (y-values) that the function can produce.

Front

What is the domain of a function?

Back

The domain of a function represents all possible input values (x-values) that can be used in the function.

Front

How do you determine the range of a quadratic function?

Back

To determine the range of a quadratic function, find the vertex and the direction the parabola opens (upward or downward). The range will be from the vertex value to infinity or from negative infinity to the vertex value.

Front

What is the significance of parallel lines in geometry?

Back

Parallel lines have the same slope and never intersect, which means corresponding angles are equal and alternate interior angles are equal.

Front

What is the relationship between angles formed by parallel lines and a transversal?

Back

When a transversal crosses parallel lines, several pairs of angles are formed: corresponding angles are equal, alternate interior angles are equal, and consecutive interior angles are supplementary.