Write the rational number as a decimal. −18/5
2 answers:
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Answer:
Step-by-step explanation:
Given:
The graph of function are given.
The equation for is given as:
Now, the graph of is a reflection of
.
The graph of passes through the point (-1, 1.5) [second quadrant] and crosses the y-axis at (0, 0.5).
As evident from the graph, the functions are reflections about the y-axis.
We know the transformation rule for reflection about the y-axis as:
Now, the y-intercept of the function is obtained by plugging in
. This gives,
So, the y-intercept is at (0, 1). But the graph of crosses the y-axis at (0, 0.5). As we observe, the coordinate rule for the transformation can be written as:
(0, 1) → (0, 0.5)
So, the reflected graph is compressed vertically by a factor of .
Therefore, the transformation is given as:
Therefore, the equation for is:
ANSWER
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EXPLANATION
The given functions are:
and
The following statements are true;
h(x) is the reflection of g(x) in the x-axis.
g(x) opens upwards while h(x) opens downwards
Both functions have their vertex and intercepts at the origin.
The x-axis is a tangent to both functions at x=0.
g(x) has a minimum point
h(x) has a maximum point.