Round 3.976 to the nearest tenth
2 answers:
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Answer:
Step-by-step explanation:
we have the expression
Convert to vertex form
where
a is the leading coefficient
(h,k) is the vertex
Complete the square
Rewrite as perfect squares
so
The coefficient a =1
The vertex is the point (-2,-2)
Answer:
y = ½x - 14
Step-by-step explanation:
Given the linear equation, y = 3x - 4, where the <u>slope</u>, m = 3, and the <u>y-intercept</u> is (0, -4):
The slope of a linear equation represents the steepness of the line's graph. The higher the value of the slope, the steeper the line. Hence, the slope of the other line must be less than three, but is greater than zero: 0 < <em>m</em> < 3. (a negative slope will show a <em>declining</em> line).
Next, the vertical translation of the line involves changing the value of the parent graph's y-intercept. Since the prompt states that the equation must represent a downward vertical shift of 10 units, then the y-intercept of the other line must be (0, -14).
The linear equation that I have chosen that meets the requirements of the given prompt is: y = ½x - 14. <em>You're more than welcome to choose a different slope</em>, as long as it is less than 3, but is greater than 0 (must be a positive slope).
Attached is a graph of both equations, to demonstrate that the other equation represents a graph with a steeper slope than the original graph.
