1/3(3+2x)−1=10 20pts
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Answer:
Step-by-step explanation:
The blue parabola is only a translated version of the red parabola. The standard form of a vertical parabola centered at (h,k), that is, a parabola whose axis of symmetry is parallel to y-axis, is of the form:
Where:
,
- Horizontal and vertical components of the vertex with respect to origin, dimensionless.
- Vertex constant, dimensionless. (If C > 0, then vertex is an absolute minimum, but if C < 0, then vertex is an absolute maximum).
Since both parabolas have absolute minima and it is told that have the same shape, the vertex constant of the blue parabola is:
After a quick glance, the location of the vertex of the blue parabola with respect to the origin is:
The standard form of the blue parabola is . Its expanded form is obtained after expanding the algebraic expression and clearing the independent variable (y):
Then, the blue parabola is represented by the following equations:
