Answer:
true
Step-by-step explanation:
My answer is a and c becuase they equal the same on each side
Y=-2 should be the answer
Answer:
i) D: All real numbers
ii) R: 
iii) Y-int: b=2
Step-by-step explanation:
i) The given absolute value function is
The domain is all values of x that makes the function defined.
The absolute value function is defined for all values of x.
The domain is all real numbers.
ii) The given function is
The function has vertex 
.
The function is reflected in the x-axis.
This means the vertex is the maximum point on the graph of the function.
The maximum y-value is 5.
The range is therefore 
or ![(-\infty,5]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C5%5D)
iii) To find the y-intercept, put 
into the function.
The y-intercept is (0,2) or 
See attachment for graph.
9514 1404 393
Answer:
a) x = -1, x = 4
b) y = x^2 -3x -4
Step-by-step explanation:
a) We observe the x-intercepts are x = -1 and x = 4. These are the solutions to y = 0, which is usually what we want in cases like this.
The solutions are x=-1 and x=4.
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b) We know two of the factors are (x +1) and (x -4). There may be an additional constant factor for vertical scaling. One point we can check is the y-intercept.
y = a(x +1)(x -4)
For x=0, this is ...
y = a(1)(-4) = -4a
The y-intercept is y = -4, so we have a=1.
The factored equation is ...
y = (x +1)(x -4)
Multiplying this out gives the equation in standard form:
y = x^2 -3x -4
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<em>Additional comment</em>
Your teacher may want the standard form equation to be ...
x^2 -3x -4 = 0
This is the equation of two specific points: x=-1 and x=4. It is not the equation of the graph.
