A family of parabolas satisfies the rule y = ax² + 2x + a. a) Express ax² + 2x + a in the form a(x + b)2 + c for real numbers b and c.

b) Give the coordinates of the turning point of the graph of y = ax² + 2x + a in
terms of a

c) For which values of a is ax + 2x + a a perfect square?

d) For which values of a does the graph of y = ax + 2x + a have two x-axis intercepts?​

Choose the correct classification of 3x4 − 9x3 − 3x2 + 6. 5th degree polynomial 4th degree polynomial 9th degree polynomial 24th degree polynomial

26) -2(7x) = (-2 • 7) x a. associative property of addition b. associative property of multiplication c. commutative property of multiplication d. commutative property of addition

(05.03 mc) part a: explain why the x-coordinates of the points where the graphs of the equations y = 4x and y = 2x−2 intersect are the solutions of the equation 4x = 2x−2. (4 points) part b: make tables to find the solution to 4x = 2x−2. take the integer values of x between −3 and 3. (4 points) part c: how can you solve the equation 4x = 2x−2 graphically? (2 points)