Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
f(x) = 2(x - 3)² - 4 ← is in vertex form
with (h, k) = (3, - 4), thus
1 the vertex is (3, - 4 )
Consider the value of a
• If a > 0 then graph opens up and is a minimum
• If a < 0 then graph opens down and is a maximum
2 Here a = 2 thus the graph opens up
The max/ min value of the function is the y- coordinate of the vertex, thus
3 The function has a minimum value of - 4
