2. Determine the coordinates of the three i. The line tangent to the curve y = ii. The line normal to the curve y = iii. The y-axis vertices of the triangle formed by the following lines (assume a > 0) x² - 3x + 5 at x = a x²-3x+5 at x = a Start by providing a sketch of the graphs illustrating this situation for a = 1 and use this sketch to help you find the solution for any a > 0.

61. Which of the following four equations is the equation of circle P in the graph? A. (x- 2) + (y +4)² = 4 B. (x- 2) + (y + 4) = 16 C. (x + 2) + (y – 4) = 4 D. (x + 2)? + (y – 4)² = 16

For the following equation: y=0.5(x-2)2-1 a) state the vertex b) make a table of values for x=-1,0,1, 2, 3, 4, 5 c) graph the curve and attached it to this question

1. Consider the following points. (2, 9), (9, 2) a. Find the distance between the two points. b. Find the midpoint of the line segment containing the two points. atio the ne possing through the points, Cve the slope of this ine. t 2. Determine whether each point lies on the graph of the equation. y = x² – 4x + 3 (-3, -24) 3. Identify the x- and y-intercepts of the graph. Verify your results algebraically. y = 16 – 4x² h(-2) ch(x+1) - Use the algebraic tests to check for symmetry with respect to both axes and the origin. x – y? = 4 | Find all real values of x for wh which )= 0, . Find the valu Find the slope and y-intercept (if possible) of the equation of the line. (If an answer does not exist, enter DNE.) a. x + 3 = 0 %3D b. 14x - бу %3D 66