Solve for x in the equation x squared + 4 x minus 4 = 8.
2 answers:
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Answer:
41
Step-by-step explanation:
Curtis is playing a trivia game.
Number of points earned for each correct answer = 2
Number of points lost for each correct answer = 0.25
Given that:
Number of correct answers given by Curtis = 21
Number of wrong answers given by Curtis = 4
To find:
Total score of the game by Curtis?
Solution:
First of all, let us find the points earned by correct answers.
Points earned by correct answers = Number of correct answers multiplied by Points earned on one correct answer.
Points earned by correct answers = 21 2 = 42
Now, let us find the points to be lost by wrong answers.
Points lost by wrong answers = Number of wrong answers multiplied by Points lost on one correct answer.
Points lost by wrong answers = 4 0.25 = 1
The score of the game can be calculated by subtracting the points lost from the points earned.
Score = 42 - 1 = <em>41</em>
The attached picture is a summary of all the six transformations you'd do.
Any change outside the f(x) notation impacts y-values of points on the graph.
Any changes inside the f(x) notation impacts x-values of points on the graph.
The trick is that the inside changes are usually the opposite of what you'd expect to have happen.
7. y=f(x)+8
This is an outside change. You're adding 8 to all the y-values of points on the graph. This will shift your entire graph up 8 units.
8. y=f(x+6)
This is an inside change. Because it says "+6", you want to think, "Ah! That means I'll actually subtract 6 from the x-value of every point on the graph." This graph is shifted 6 units to the left.
9. y=-f(x)
Inside change, impacts y-values. Every y-value will be given the opposite signs. Negatives become positive and positives become negative. This will flip your graph over the x-axis.
10. y = f(-x) + 5
Give this one a shot on your own first in a comment and I'll let you know how you did.
11. y = - 3 f(x-3)
There are three things happening. A negative on the outside, multiplying by 3 on the outside, and subtracting 3 inside. What will each of those do individually? Take a shot on this one and let me know what you think.
12. y = 1/2 f( 1/2 x )
Again, three changes. Try this one and let me know what you think. Remember multiplying by 1/2 inside really means you'll do the opposite of multiplying by 1/2.
