MATHEMATICS HIGH SCHOOL

The function g(x) = 2x2 – 28x + 3 written in vertex form is g(x) = 2(x – 7)2 – 95. Which is one of the transformations applied to the graph of f(x) = x2 to produce the graph of g(x) = 2x2 – 28x + 3?shifted up 3 units
shifted left 7 units
shifted right 7 units
shifted down 3 units

Answers

Answer 1
Answer:

The function g(x) = 2x^2 - 28x + 3 written in vertex form is g(x) = 2(x - 7)^2 - 95.

You have to do such transformation to obtain the graph of the function g(x) from the graph of the function f(x) (the graph of f(x) is red on the diagram below):

1. translate graph of the function y=f(x) right 7 units to get graph of the function f_1(x)=(x-7)^2 (blue curve);

2. shrink twice in y-direction the graph of f_1(x) to obtain the graph of the function f_2(x)=2(x-7)^2 (green curve);

3. translate graph of the function f_2(x) down 95 units to get the graph of the function y=g(x)=2(x-7)^2-95 (orange curve).

From these steps the only possible choice of transformations is C - shifted right 7 units.
Answer 2
Answer: The vertex form tells us the answer. This is the general vertex form a parabola:
y = a(x-h)^2 + k 

a indicates any stretching or shrinking
h indicates any shifting to the left (if h is positive) or the right (if h is negative)
k indicates any shifting up (if k is positive) or down (if k is negative)

Therefore, the transformation that apply is only
shifted right 7 units

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Answers

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a recipe that makes 12 muffins calls for 2 1/2 cups of flour. how much flour is needed to make 18 muffins

Answers

Answer:  3(3)/(4) cups of flour

=============================

Work Shown:

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Answers

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What is the result when 4x^2-17x+36 is subtracted from 2 x^2-5x+25?

Answers

2x^2-5x+25-(4x^2-17x+36)=\n 2x^2-5x+25-4x^2+17x-36=\n -2x^2+12x-11
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Answers

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Write the function in vertex form
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Answers

i hope this helps you
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