Answer:
• multiplied by 4p: (x -h)² +4pk = 0
• zeros for k > 0: none
• zeros for k = 0: one
• zeros for k < 0: two
Step-by-step explanation:
a) Multiplying by 4p removes the 1/(4p) factor from the squared term, but adds a factor of 4p to the k term. (It has no effect on the subsequent questions or answers, so we wonder why we're doing this.) The result is ...
(x -h)² +4pk = 0
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b) The value of k is the vertical location of the vertex of the parabola with respect to the x-axis. The parabola opens upward, so for k > 0, the parabola does not cross the x-axis, and the number of real zeros is zero. (There are two complex zeros.)
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c) As in part b, the value of k defines the vertex location. When it is zero, the vertex of the parabola is on the x-axis, so there is one real zero (It is considered to have multiplicity 2.)
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d) As in part b, the value of k defines the vertex location. When it is negative, the vertex of the parabola is below the x-axis. Since the parabola opens upward, both branches will cross the x-axis, resulting in two real zeros.
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The attached graph shows a parabola with p=1/4 and h=2. The values shown for k are +1, 0, and -1. The coordinates of the real zeros are shown.
The are of the triangle will be 12.5 units.
On marking the given vertices (0,0), (0,5), (5,5) of the triangle we get, the base of the triangle = 5 units and height of the triangle = 5 units.
Now, we know area of triangle =
Step-by-step explanation:
Below is an attachment containing the solution.
Answer:
it vertically compressed it by 2
Step-by-step explanation:
I attached a pic of the graph so u can see ! blue is the parent function and red is the transformation and u can see the red line gets smaller !! i use the app wabbit which is a calculator app and u can only get it on android just added that just incase u wanted to have it for urself !
The opportunity cost that Ann is going to have if she buys the pair of jeans is the chance to buy the pair of shoes with her allowance. She exchanged her opportunity of buying the shoes by buying the pair of jeans. This is the opportunity cost because the potential of losing the alternative (shoes) happened by purchasing the other.