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aleklupo3353
07.10.2020 •
Mathematics
Can i please get some help
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Ответ:
Step-by-step explanation:
y=|x-2|-4
the absolute of any number is positive
x -5 -3 -1 0 1 3 5
y 3 1 -1 -2 -3 -3 -1
Ответ:
Part A : As you know, the x - intercept is a point with which the y - coordinate has a value of 0. f( x ) can otherwise be known as 0, so to determine the x - intercept, you would have to solve the following equation,
5x² + 2x − 3 = 0,
( 5x - 3 )( x + 1 ) = 0,
5x - 3 = 0 ⇒ x = 3 / 5,
x + 1 = 0 ⇒ x = - 1
As you can see there are two solutions to this quadratic equation, x = 3 / 5, and x = - 1. Therefore, there will be two points with which the graph meets the x - axis, (
, 0 ) and ( - 1, 0 ).
Part B : We can tell that the vertex of this graph is going to be a minimum, as it is a up - down facing parabola. It is such as it is in the form y = ax² + bx + c. However, let's check the coordinates of our vertex.
The parabola parameters are a = 5, b = 2, and c = - 3,
Part C : We know the vertex is at point
, and the x- intercepts are (
, 0 ) and ( - 1, 0 ). Therefore we can simply draw a curved line intersecting these points, creating our graph.