Let f (x) = 3 x 2 + 2 f (x) = 3x2+2

A new quadratic function g (x) is the function f (x) stretched vertically by a factor of 4. What is the equation of g (x) ?

Question

Mathematics

Sasha Frazier

4 July, 07:47

Let f (x) = 3 x 2 + 2 f (x) = 3x2+2

A new quadratic function g (x) is the function f (x) stretched vertically by a factor of 4. What is the equation of g (x) ?

+3

Answers (1)

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Frau Frau · Answer 1

F (x) = 3x²+2. The intersection of this parabola with y-axis is 2 [f (0) = 2]

If you want to stretch it vertically by a factor of 4. that means instead of 2 previously calculated the total stretch should be 2.4 = 8 [f (0) = 8]

The stretched equation becomes (x) = 3x² + 8

Let f (x) = 3 x 2 + 2 f (x) = 3x2+2A new quadratic function g (x) is the function f (x) stretched vertically by a factor of 4. What is the equation of g (x) ?

Let f (x) = 3 x 2 + 2 f (x) = 3x2+2

A new quadratic function g (x) is the function f (x) stretched vertically by a factor of 4. What is the equation of g (x) ?