So the maximum height is another word for vertex's y-coordinate. The easiest method to find the vertex is to find the axis of symmetry for the x-coordinate and then plug the axis of symmetry into the equation to solve for y.
Firstly, the equation for the axis of symmetry is , with b = x coefficient and a = x^2 coefficient. Using our equation, we can solve for the axis of symmetry as such:
Now that we have the x-coordinate, plug it into x and solve for y:
In short, the maximum height is 90.75.
Answer:
48cm².
Step-by-step explanation:
Area of a triangle = ½ × b × h.
½ × 12 × 8 = 48cm².
Answer:
B
Step-by-step explanation:
It is shifted 15 units up. Think of how you're solving for y, and by adding 15 to the equation, y increases by 15. If y increases by 15 the graph shifts up by 15. Hope that helps.