What is the equation for 5 units left and 3 units up from f(x)=x
1 answer:
The new equation after shifting will be:
Step-by-step explanation:
Function trnafomations upward and left are defined as:
Upward:
f(x) => f(x)+b where b is an integer
Left:
f(x) => f(x+b) where b is an integers
Given function is:
Shifting the function 5 units left
Shifting the function upward 2 units
So,
The new equation after shifting will be:
Keywords: Functions, shifting
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Table (A) represents the parabola y = x² - 6x in which the parabola opens and the y-intercept is (0, 0) table (A) is the correct choice.
<h3>What is a parabola?</h3>It is defined as the graph of a quadratic function that has something bowl-shaped.
We have the tables shown in the picture.
We know the quadratic form of a parabola is:
y = ax² + bx + c
If a > 0 the parabola opens
In the equation:
y = x² - 6x
1 > 0 the parabola opens and y-intercept is:
y = 0 (plug x = 0 in the given equation)
a = 1, b = -6, and c = 0
Thus, table (A) represents the parabola y = x² - 6x in which the parabola opens and the y-intercept is (0, 0) table (A) is the correct choice.
Learn more about the parabola here:
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