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olchik [2.2K]
3 years ago
5

On a coordinate plane, two parabolas open up. The solid-line parabola goes through (1, 3), has a vertex at (3, negative 1), and

goes through (5, 3). The dashed-line parabola goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4).
Which best describes the transformation from the graph of f(x) = x2 to the graph of
f(x) = (x – 3)2 – 1?
left 3 units, down 1 unit
left 3 units, up 1 unit
right 3 units, down 1 unit
right 3 units, up 1 unit
Mathematics
2 answers:
alexgriva [62]3 years ago
8 0

Answer:

right 3 units, down 1 unit

Step-by-step explanation:

anastassius [24]3 years ago
4 0

Answer:

c.right 3 units, down 1 unit

Step-by-step explanation:

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scoray [572]

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Angle A: 45, Angle B: 110, and Angle C: 25.

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Write a polynomial function $f$ of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.
olganol [36]

Answer:

f(x) = x^{3} + 4x^{2} -7x^{} -10^{}

Step-by-step explanation:

The zeros of the polynomial function are given us as -5,-1,2

If the zeros of a polynomial function are α,β,ω, the polynomial function can be obtained using the expression below:

f(x) = (x - α)(x - β)(x - ω)

where α = -5, β = -1, and ω = 2

f(x)=(x-(-5) )(x -(-1))(x - 2) = (x+5)(x+1)(x-2)\\\\f(x)=(x+5)(x^{2} -2x + x -2) = (x+5)(x^{2}  -x-2)\\\\f(x)=x(x^{2}  -x-2)+5(x^{2}  -x-2)\\\\f(x)= x^{3} - x^{2} -2x + 5x^{2} - 5x - 10\\\\f(x)= x^{3} + 4x^{2} -7x - 10

<em>NB: To arrive at the answer, expand the brackets and after expansion, collect like terms to obtain the final answer</em>

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