What is y=x^2+74, translated 2 units up and 5 units left
2 answers:
Answer:
y = x² + 10x + 101
Step-by-step explanation:
Start with the basic function: y = x² + 74.
To shift the parabola up two units, you add two units to the value of y. The equation becomes
y = x² + 76
To shift the parabola five units to the left, you must add five units to the value of x. The equation for the parabola becomes
y = (x + 5)² + 76
y = x² + 10x + 25 + 76
y = x² + 10x + 101
The figure below shows the graphs of
y = x² (red)
y = x² + 76 (blue) (shifted up two units)
y = x² + 10x + 101 (green) (shifted left five units)
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Answer:
degree 4
Step-by-step explanation:
The degree of a polynomial is determined by the term with the largest exponent for the polynomial in standard form
Given
P(x) = (x - 1)(x + 2)(x + 3)(2x - 5)
We need only consider the product of the leading terms in each factor, that is
x(x)(x)(2x) = 2 ← is the leading term in the expansion of the factors
with exponent 4
Thus polynomial is of degree 4