Minimum: 37
maximum: 208
range: maximum - minimum = 208 - 37 = 171
mean: (37 + 43 + 54 + 83 + 102 + 117 + 160 + 208)/8 = 100.5
median: middle number (83 + 102)/2 = 92.5
Answer:
Discriminant is positive.
Step-by-step explanation:
From the given graph,
Vertex of the parabola = (-3, -2)
y - intercept of the parabola = (0, 1)
Vertex form of a parabola opening upwards is,
y = a(x- h)² + k
Here (h, k) is the vertex.
By substituting the values of the vertex in this equation.
y = a(x + 2)² - 3
Since this parabola passes through (0, 1)
1 = a(0 + 2)² - 3
a = 
a = 1
So the equation of the parabola will be
y = (x + 2)² - 3
y = x² + 4x + 4 - 3
y = x² + 4x + 1
Here a = 1, b = 4 and c = 1 (comparing with standard quadratic equation y = ax² + bx + c)
Discriminant of a quadratic equation is represented by,
(b² - 4ac)
Therefore, the value of discriminant = (4)² - 4(1)(1)
= 16 - 4
= 12
Therefore, discriminant of the given graph is positive.
Answer:
B) 
Step-by-step explanation:
We are given,
The graph of the parabola opens downwards.
This means that the leading co-efficient of the function will be negative.
So, options C and D are not possible.
Moreover, it is given that the graph cuts x-axis near
i.e.
= 1.5 and
i.e.
= 4.5.
i.e. At y=0, the value of x is near
and
.
A. So, in
, we put y =0.
i.e. 
i.e. 
i.e. x = 0.68 and x = 3.41
We see that this does not crosses the x-axis at the given points.
So, option A is wrong.
B. Also, in
, we put y =0.
i.e. 
i.e. 
i.e. x = 1.68 and x = 4.41.
Thus, this equation cuts the x-axis near the given points i.e. 1.5 and 4.5.
Hence, the equation of the given graph is
.
Answer:
Step-by-step explanation:
continuous
increasing then decreasing
Answer:
x usually goes on the x axis whereas y or the answer u can choose goes on y
Step-by-step explanation: