Help Me WITH ALGEBRA

1. Use the quadratic equation y = x² + 3x + 9.

Where does the vertex of the parabola lie?

below the x-axis

above the x-axis

on the x-axis

on the y-axis

Question 2.2. Calculate the discriminant to determine the number of real roots.

y = x² – 6x + 9.

How many real roots does the equation have?

one real root

two real roots

no real roots

no solution to the equation

10. Factor the expression.

4x³y – 6x²y² + 4x²y

2x²y(3x – 3y)
  2x²y(2x – 3y + 2)
  3x²y(2x – 3y + 1)
  The expression cannot be factored because it is prime.

Question 11.11. Factor the expression.

c² + 4c – 4

(c + 2)²
  (c + 1)(c + 4)
  (c² + 4)²
  The expression cannot be factored because it is prime.

Question 12.12. If p varies directly with q, and p = 10 when q = 2, what is the value of p when q = 20?

p = 1

p = 28

p = 40

p = 100