Answer:
- vertex (3, -1)
- y-intercept: (0, 8)
- x-intercepts: (2, 0), (4, 0)
Step-by-step explanation:
You are being asked to read the coordinates of several points from the graph. Each set of coordinates is an (x, y) pair, where the first coordinate is the horizontal distance to the right of the y-axis, and the second coordinate is the vertical distance above the x-axis. The distances are measured according to the scales marked on the x- and y-axes.
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<h3>Vertex</h3>
The vertex is the low point of the graph. The graph is horizontally symmetrical about this point. On this graph, the vertex is (3, -1).
<h3>Y-intercept</h3>
The y-intercept is the point where the graph crosses the y-axis. On this graph, the y-intercept is (0, 8).
<h3>X-intercepts</h3>
The x-intercepts are the points where the graph crosses the x-axis. You will notice they are symmetrically located about the vertex. On this graph, the x-intercepts are (2, 0) and (4, 0).
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<em>Additional comment</em>
The reminder that these are "points" is to ensure that you write both coordinates as an ordered pair. We know the x-intercepts have a y-value of zero, for example, so there is a tendency to identify them simply as x=2 and x=4. This problem statement is telling you to write them as ordered pairs.
See the attached image for solution:
Answer:
Option D is the correct answer
Step-by-step explanation:
D. Yes, because it passes the vertical line test.
Answer:
The answer is option A) X + 2
Step-by-step explanation:
Any polynomial of order n can be expressed in terms of their roots in factors of the form
(x-a)(x-b)(x-c)(x-d)....... = 0
Where a,b,c,d,... are the roots of the polynomial
In the example shown
(x+2) = (x-(-2))
And -2 happens to be the root of the polynomial in question
Answer:
3x^2-x-6
Step-by-step explanation:
f(x) = 3x^2 - 4
g(x) = x+2
(f - g)(x)= 3x^2 - 4-( x+2)
Distribute the minus sign
(f - g)(x)= 3x^2 - 4- x-2
Combine like terms
= 3x^2-x-6
