Answer:
The graph opens down, Maximum ⇒ B
Step-by-step explanation:
The vertex form of the quadratic equation is y = a(x - h)² + b, where
- a is the coefficient of x²
- (h, k) are the coordinates of its vertex point
- If a > 0, then the graph of the equation is opened upward
- If a < 0, then the graph of the equation is opened downward
- If the graph direction is upward, then the vertex point is a minimum point
- If the graph direction is downward, then the vertex point is a maximum point
Let us use these facts to solve the question
∵ The equation of the graph is y = -3(x + 4)² - 1
→ Compare it with the form above
∴ a = -3 and (h, k) = (-4, -1)
∵ a is negative
→ That means a < 0
∴ The graph is opened downward
∴ The graph opens down
∵ The graph is opened downward
→ That means the vertex point will be a maximum point
∴ The graph has a maximum vertex
∴ The graph opens down and has a maximum vertex
The attached graph for more understanding
