Standard form for quadratic equations is:
0 = ax² + bx + c
To make Alessandro's first equation in standard form, you must make the constant on the left side of the equation 0.
To do this, we should add 6 to each side to cancel out the -6 on the left side of the equation, making its value 0.
Alessandro's new equation is:
-6 + 6 = x² + 4x - 1 + 6
If we simplify this equation, we get:
0 = x² + 4x + 5
Therefore, knowing that the equation above is in the form ax² + bx + c, we can determine that the value of c in Alessandro's new equation is 5.
$82.80
Add both meals together and then multiply by 1.14 (that is the tip; if the tip was 4% you would multiply by 1.04)
In our given function g(x)=f(x)+4, so the graph is shifted up 4 units and transformation is vertical shift.
Step-by-step explanation:
We are given:
f(x)= -1/5 x -2
and g(x)= f(x)+4
We need to describe the transformation from the graph of f to the graph of g.
The graph is vertical shift because if g(x)=f(x)+k then the graph is shifted vertically up k units.
In our given function g(x)=f(x)+4, so the graph is shifted up 4 units and transformation is vertical shift.
The graph of transformation is shown in figure attached.
Keywords: Transformation of graphs
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Step-by-step explanation: