The equation for the red graph is f(x)=-x^2.
The question is an incomplete graph of a function is missing
For a complete question refer to the graph attached below
we have
The vertex of the function g(x) is the point (0,4)
The vertex of the function f(x) is the point (0,0)
<h3>What is the vertex?</h3>
This is typically a local maximum or minimum of curvature, and some authors define a vertex to be more specifically a local extremum of curvature.
So, the rule of the translation of g(x) to f(x) is
(x,y)------> (x,y-4)
The translation is 4 units down
The equation of the function f(x) is
Therefore, The answer is f(x)=-x^2
To learn more about the graph visit:
brainly.com/question/4025726
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Answer:
Step-by-step explanation:
Simply use the fact that the change in x squared + the change in y squared = the distance squared. (The Pythagorean Theorem)
1^2 + 4^2 = d^2
1 + 16 = d^2
17 = d^2
d = √17
Hope it helps :)
Answer:
B. (5/2 , 7/2)
Step-by-step explanation:
The graph shows the solution to be about (2.4, 3.5), a reasonable match with choice B, (2.5, 3.5).
_____
If you consider the intercepts, you see that the first equation has intercepts at x=-2, y=1.6, and the second equation has intercepts at x=1 5/6 and y=-11. If you think about this for a minute, you realize the lines must cross in the first quadrant at a point with an x-value more than 1 5/6, and a y-value more than 1.6.
Only one answer choice matches.
Answer:
Weight of the solution = 250 grams
Step-by-step explanation:
1) Consider the weight of solution as x grams.
32 % solution = 80 grams salt
32% of x = 80
(32/100)*x = 80
Solving for x:
x = (80*100) / 32
x = 250 grams
Answer:
y = -1/3x + 3
Step-by-step explanation:
Slope = -1/3
Y-intercept = (0, 3)