Answer:
First question
a = 1 , h = 0 , k = 6 ⇒ third answer
Second question
y = 2x² + 4 ⇒ second answer
Third question
No of the choices correct ⇒ fourth answer
Step-by-step explanation:
First question
∵ f(x) = x² + 6
- It is a quadratic function with general form ax² + bx + c
- Its vertex is (h , k), where h = -b/2a and k = f(h)
∵ a = 1 , b = 0 , c = 6
∴ h = 0/2(1) = 0
∴ f(0) = 0² + 6 = 6
∴ a = 1 , h = 0 , k = 6 ⇒ third answer
Second question
- If the function f(x) translated vertically up
by k units, then the new function g(x) = f(x) + k
- If the function f(x) translated vertically down
by k units, then the new function g(x) = f(x) – k
∵ y = 2x²
∵ y is shifted 4 units up
∴ k = 4
∴ y + 4 = 2x² + 4
∴ y = 2x² + 4 ⇒ second answer
Third question
∵ y = -2x² + 3
- It is a quadratic equation with general form ax² + bx + c
- It represented graphically by parabola
- If a is positive the parabola opens upward
- If a is negative the parabola opens downward
∵ a = -2
∴ The parabola opens downward
∴ No of the choices correct ⇒ fourth answer
→ 3 ≠ 1 → A is eliminated.
→ 5 ≠
→ B is eliminated.
→ 2 = 2 → C satisfies the equation.
→ 10 ≠
→ D is eliminated.
→ -1 = -1 → E satisfies the equation.
→ 3 = 3 → F satisfies the equation.