Quadratic equations and functions

High School Math 1 · Unit 9 · quadratics-parabolas

quadratics-parabolas

Name ______________________________Date ______________

1.
Solve $x^{2} - 5x + 6 = 0$ . Enter the larger solution.
Answer: ______________
2.
Solve $2x^{2} - 3x - 2 = 0$ using the quadratic formula. Enter the negative solution.
Answer: ______________
3.
A ball is thrown upward from a platform. Its height in feet after $t$ seconds is $h(t) = -16t^{2} + 64t + 80$ . What is the maximum height the ball reaches, in feet?
Answer: ______________
4.
What is the $x$ -coordinate of the vertex of $y = 3x^{2} - 12x + 7$ ?
1. (A)
  $-2$
2. (B)
  $2$
3. (C)
  $6$
4. (D)
  $12$
5.
The two real roots of $x^{2} - 7x + k = 0$ differ by $3$ . What is $k$ ?
1. (A)
  $4$
2. (B)
  $6$
3. (C)
  $8$
4. (D)
  $10$
5. (E)
  $12$