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The graph of y = x2 is shown below. Using complete sentences, explain how the graph
To solve this problem, you have to break down the equation into parts and figure out how each piece affects the picture. It is a good idea to use the point-slope formula which is y=a(x-h)2+k and break it down by variable.
a: This is the slope. Since this slope is negative, the parabola will be facing down. With a slope of 2, the parabola will be much narrower because it is covering 2 vertical blocks to 1 horizontal block on the grid, therefore it will be twice as tall as it is wide.
(h,k) is the vertex of the parabola or the point that is in the middle (in this case it is the highest point on the parabola since the parabola is facing downward).
h: -3 represents the vertex being three blocks to the left of the origin with regards to the x-axis.
k: 1 represents that the vertex is one block above the origin with regards to the y-axis.
Sign of 2nd derivative, Maths First, Institute of Fundamental Sciences… – Consider the graph of a cost function shown below. The graph shows that the total cost of a certain activity increases sharply at the beginning and then rises more and more slowly until a point when the total cost begins to rise more sharply again.The graph of y = √x is the top or positive half of the horizontal parabola x = y², including the origin (0, 0). The initial or beginning point of To verify what I've stated above, use either a graphing utility, e.g., a graphing calculator, or use a piece of graph paper to Related Questions. More Answers Below.Stretches the graph 2 times horizontally and reflects in the y axis. The graph becomes reflected in the x axis, so the negative x values are the same as the positive.
What is the graph of y =x – Quora – Using complete sentences, explain how the graph of y = -2(x + 3)2 + 1 would differ from this parabola? The graph shows a parabola opening up with a vertex at 0 comma 0.2 -1 1 2 3 4 Which of the following could be the equation of the second graph? For questions 13-14: The accompanying figure shows the graph of a function f(Cr) with domain [O, 2] and range [0, 1] 2 Figure I Figure II Q13) Figure II represents the graph of A. 2f(x) B. f(r-2) C. f(x + 2) D. f (x -2)+ 1 Q14)…Free functions and graphing calculator – analyze and graph line equations and functions step-by-step.
The graph of a function f with domain [0,4] is shown in the figure. – At how many points does the graph of y Therefore the graph would remain same but will shift up or down given the sign of the intercept (here it is +2). Put the value of x=0 in the first equation you get y=1 Now put the value of x=0 in the second equation you get y=2.Please answer in format shown. Show transcribed image text. Transcribed Image Text from this Question. The graph of y = x^2 is shown below. Use the graph to solve the equation x^2 = 0….Part (B) Differentiating implicitly using the chain rule and product rule we get: 2(x^2+y^2)(2x+2ydy/dx) = (4x^2)(dy/dx) + (8x)(y) We don't need to find an explicit expression for dy/dx, just its value when x=+-1 and y=1. Substituting x^2=1 and y=1 gives: 2(1+1) How do you show a line is a tangent to a curve?