Evaluate -2 3/10+ 11/15
1 answer:
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Answer:
y ≥ 8
Explanation:
Note that if f(x) is transformed into f(x + a) - b
The original functions is shifted a units to the left and b units downward.
Horizontal shifting will not affect the range of the function, only vertical shifting will change its range.
From the given, g(x) is the transformation of f(x) with
f(x) is shifted 2 units to the left and 3 units downward, we will disregard the horizontal shifting.
Since f(x) has a range of y ≥ 11, and g(x) is 3 units downward, the range will also move 3 units downward.
y ≥ 11 - 3
The answer is y ≥ 8
Answer:
Step-by-step explanation:
We want to find the equation of the parabola with a focus of and directrix
.
Considering the directrix, the quadratic graph must open downwards.
The equation of this parabola is given by the formula,
, where
is the vertex of the parabola.
The axis of this parabola meets the directrix at .
Since the vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix,
and
.
The equation of the parabola now becomes,
.
Also is the distance between the vertex and the directrix.
This implies that .
Since the parabola turns downwards,
.
Our equation now becomes,
.
.
We make y the subject to get,
.
This is the same as
.
