Given the next quadratic function:
to sketch its graph, first, we need to find its vertex. The x-coordinate of the vertex is found as follows:
where <em>a</em> and <em>b</em> are the first two coefficients of the quadratic function. Substituting with a = 2 and b = 3, we get:
The y-coordinate of the vertex is found by substituting the x-coordinate in the quadratic function, as follows:
The factorization indicates that the curve crosses the x-axis at the points (-2, 0) and (1/2, 0). We also know that the curve crosses the y-axis at (0,-2). Connecting these points and the vertex (-0.75, -3.125) with a U-shaped curve, we get:
Answer:
domain: (-∞,∞) x║x∈R
range: (-4,∞) y║y>-4
asympotote: (y=-4)
Step-by-step explanation:
Answer:
term 2x
term -5xy
term 6
Step-by-step explanation:
terms are a number or variable separated by + or - or / or *
You can solve this equation by rearranging the 2x to the opposite side, but since it's a positive, you must change it to a negative. If the number was negative, it would've been a positive.
y=-2x+3
-2x is the slope and 3 is the y-intercept.
Hope this helped!
Answer: 6 times
Step-by-step explanation:
Let the Length of the rectangle be L and the Width be W
Also , let us pick the Length as the longest side , then from the statement
L = 2W
The perimeter of a rectangle is given as :
P = 2 ( L + W )
substitute L = 2W into the formula , we have
P = 2 ( 2W + W )
P = 2 (3W)
P = 6W
Therefore the Perimeter is 6 times as long as the Width
