Answer:
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Step-by-step explanation:
Answer:x=−136
Step-by-step explanation: Step 1: Simplify both sides of the equation.
2+x=
7
8
x−15
2+x=
7
8
x+−15
x+2=
7
8
x−15
Step 2: Subtract 7/8x from both sides.
x+2−
7
8
x=
7
8
x−15−
7
8
x
1
8
x+2=−15
Step 3: Subtract 2 from both sides.
1
8
x+2−2=−15−2
1
8
x=−17
Step 4: Multiply both sides by 8.
8*(
1
8
x)=(8)*(−17)
We know that this is a parabola, as the equation is denoted by the x^2 term.
We can see that the symmetry is seen at the point -0.5, therefore making the axis of symmetry the vertical line -0.5.
The vertex is found in quadrant three. In other words, it will shift by a negative value both horizontally and vertically. The vertex is therefore (-0.5, -0.5).
We can verify this in the equations by using the formula (-b/2a) to find the vertex. The only quadratic equation that satisfies this is -2x^2 + 2x -1.
To sum it up, the answers are:
-2x^2 + 2x - 1.
AoS: x = -0.5
Vertex: (-0.5, -0.5).
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