Answer:
a) Upwards
b) x = -1
c) (-1,-9)
d) x intercepts; (2,0) and (-4,0)
y intercept is (0,-8)
Step-by-step explanation:
a) As we can see, the parabola faces upwards
b) To find the axis of symmetry equation, we look at the plot of the graph and see the point through the vertex of the parabola that exactly divides the parabola into two equal parts
The x-value that the line passes through here is the point x = -1 and that is the equation of the axis of symmetry
c) The vertex represents the lowest point of the circle here,
As we can see, this is the point through which the axis of symmetry passes through to make a symmetrical division of the parabola
We have the coordinates of this point as
(-1,-9)
d) The intercepts
The x-intercept are the two points in which the parabola crosses the x-axis
We have this point as 2 and -4
The x-intercepts are at the points (2,0) and (-4,0)
For the y-intercept; it is the y-coordinate of the point at which the parabola crosses the y-axis and this is the point (0,-8)
Answer:
The scale is 1:200
Step-by-step explanation:
On the plan we have the drawing as 6 cm
In real representation, we have the distance as 12 m
Firstly we have to convert to same unit
In this case, we use the cm for convenience
Mathematically, 100 cm is 1 m
Thus, 12 m
will be 12 * 100 = 1,200 cm
So, we have the ratio as;
6 cm : 1,200 cm
and that is 1:200 (since 6/1200 = 1/200 and in ratio form, we have that as 1:200)
Answer:
y=4
Step-by-step explanation:
y=2+2/2-1
y=4
Answer:
4:!
Step-by-step explanation:
4:1 because their are 4 boys for every 1 girl
Answer:
see below
Step-by-step explanation:
Put -1 where x is in each expression and evaluate it.
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You will find that the expression is zero when the numerator is zero. And you will find the numerator is zero when it has a factor that is equivalent to ...
(x +1)
Substituting x=-1 into this factor makes it be ...
(-1 +1) = 0
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Evaluating the first expression, we have ...
This first expression is one you want to "check."
You can see that the reason the expression is zero is that x+1 has a sum of zero. You can look for that same sum in the other expressions. (The tricky one is the one with the factor (x -(-1)). You know, of course, that -(-1) = +1.)
