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1 answer:
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Answer:
the y-intercepts differ
Step-by-step explanation:
The x-coefficient is the same for each function, so parallel lines are described. The function g(x) has a y-intercept of -4; f(x) has a y-intercept of 0.
The graphs differ in their intercepts.
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<em>Additional comment</em>
g(x) can be considered to be a translation downward of f(x) by 4 units. The same graph of g(x) can be obtained by translating f(x) to the right by 2 units. That is, both the x-intercepts and y-intercepts differ between the two functions.
Answer:
See below
Step-by-step explanation:
I assume you mean
The equation is already in vertex form where
affects how "fat" or "skinny" the parabola is and
is the vertex. Therefore, the vertex is
.
The axis of symmetry is a line where the parabola is cut into two congruent halves. This is defined as for a parabola with a vertical axis. Hence, the axis of symmetry is
.
The minimum value is the smallest value in the range of the function. In the case of a parabola, the y-coordinate of the vertex is the minimum value. Therefore, the minimum value is .
The interval where the function is decreasing is
The interval where the function is increasing is