MAT 171 Unit 1 Exam Practice 1

Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin. $$y = x^2 + 5x + 6$$

Find an equation for the line with the given properties. Perpendicular to the line x - 8y = 8; containing the point (2, 4)

Find an equation for the line with the given properties. Parallel to the line -4x + 5y = -4; x-intercept = -3

Find an equation for the line with the given properties. Vertical line; containing the point (6, 2)

Find an equation for the line, in the indicated form, with the given properties. Containing the points (7, -2) and (-3, 5); general form

Find the center (h, k) and radius r of the circle with the given equation.

$$2x^2+2y^2+12x-32y+130=0$$

Find the slope of the line through the points and interpret the slope.

Find the slope-intercept form of the equation of the line with the given properties. Horizontal; containing the point (-1/8, 2)

List the intercepts and type(s) of symmetry, if any. $$y = -\frac{x^3}{x^2 - 9}$$

List the intercepts of the graph. Tell whether the graph is symmetric with respect to the x-axis, y-axis, origin, or none of these.