Suppose f(x)=x^2 and g(x)=5x^2. Which steamy best compares the graph of g(x) with the graph of f(x)?
1 answer:
By understanding and applying the concepts of dilation and <em>quadratic</em> functions, the function g(x) is a <em>vertically dilated</em> version of f(x) by a factor of 5.
<h3>How to compare the graphs of two functions</h3>
In this questions we know two <em>quadratic</em> equations of the form y = a · x². f(x) is known as the <em>canonical</em> function as a = 1 and g(x) is the consequence of <em>dilating</em> f(x) <em>vertically</em> by a factor of 5. Now we proceed to present graphically between the two functions.
In a nutshell, the function g(x) is a <em>vertically dilated</em> version of f(x) by a factor of 5.
To learn more on quadratic functions: brainly.com/question/2263981
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Answer:
About 53.13 degrees.
Step-by-step explanation:
If we draw the path of the hiker, or rather, all three vectors with vector B having its starting point at the end point of vector A, a right triangle is formed. We will most likely be using trigonometric functions to solve this.
vector A is parallel to the x axis (West - East), and vector B is perpendicular, so we'll be using the inverse tangent function to get the angle based on the ratio of the lengths of vector B to vector A, which is
atan degrees.
If one would be pedantic, they'd say that the direction we have to go to get from vector C to vector A is clockwise, which is anti-mathematical, the true answer would be -53.13 degrees. Alternatively, whatever 360-53.13 is.