b.Yes: if the vertex is at (m,n), then the domain is all reals and the range is y ≤ n.
c.No: we would need to know if the vertex is a minimum or a maximum.
d.Yes: if the vertex is at (m,n), then the domain is all reals and the range is y ≥ n.
Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation.
y=2x-x+6
A)( 0.25, 6.125)
B)(-0.25, 5.875)
C)( 0.25, 5.875)
D)( 0.25, 6)
The correct answers are:
C) No: we would need to know if the vertex is a minimum or a maximum; and
C)( 0.25, 5.875).
Explanation:
The domain of any quadratic function is all real numbers.
The range, however, would depend on whether the quadratic was open upward or downward. If the vertex is a maximum, then the quadratic opens down and the range is all values of y less than or equal to the y-coordinate of the vertex.
If the vertex is a minimum, then the quadratic opens up and the range is all values of y greater than or equal to the y-coordinate of the vertex.
There is no way to identify from the coordinates of the vertex whether it is a maximum or a minimum, so we cannot tell what the range is.
The graph of the quadratic function is shown in the attachment. Tracing it, the vertex is at approximately (0.25, 0.5875).
A graph of a parabola with x intercepts of negative 0.5, 0 and 2, 0 and a vertex of 0.5, 4 is shown.
Which function has a larger maximum? Type your answer as 1 or 2.
Answer:
The function 2 has a larger maximum.
Step-by-step explanation:
The vertex form of the parabola is
.... (1)
Where, (h,k) is the vertex.
The given functions are
..... (2)
Since the leading coefficient is negative, therefore it is a downward parabola. It means the vertex of the parabola is the maximum point.
On comparing (1) and (2), we get
Therefore the maximum value of the function is 2 at x=0.
The second function has x intercepts of (-0.5, 0) and (2, 0) and a vertex of (0.5, 4).
It is also a downward parabola because the parabola has two x-intercepts and the vertex lies above the x-axis.
Since the vertex is (0.5, 4), therefore the maximum value of the function is 4 at x=0.5.
Therefore function 2 has a larger maximum.
Answer:
the anwser is 2 guys. i got it correct
X=_____. Or x=_______
X1=(-2-√22)/6
X2=(-2+√22)/6
Answer:
a) (x + 2)(x + 8) ; b) (x + 4)(x + 3) ; c) (x + 12) (x + 1)
Step-by-step explanation:
Think about what would add to make the 'b' and multiply to make the 'c' using this equation: ax² + bx + c
a) (x + 2)(x + 8)
b) (x + 4)(x + 3)
c) (x + 12) (x + 1)