The graph of f(x) = x2 is translated to form g(x) = (x – 2)2 – 3.

Asked by maham237 @ 24/12/2020 in Mathematics viewed by 364 People

The graph of f(x) = x2 is translated to form g(x) = (x – 5)2 + 1. Which graph represents g(x)?

Answered by maham237 @ 24/12/2020

The graph would be translated 5 units right and 1 unit up, giving an upward facing parabola with a vertex at (5, 1).

Explanation:
Since 5 was subtracted from x before it was squared, this means a horizontal translation 5 units. Since it was subtracted, this means it was translated right 5 units.

The 1 added at the end means it was translated 1 unit up as well.

This is in vertex form, y=a(x-h)^2 + k, where (h, k) is the vertex; h corresponds with 5 and k corresponds with 1, so the vertex is at (5, 1).

The graph of f(x) = x2 is translated to form g(x) = (x – 2)2 – 3.

Similar Questions

The graph of f(x) = x2 is translated to form g(x) = (x – 5)2 + 1.

Which phrase best describes the translation from the graph y = (x + 2)2 to the graph of y = x2 + 3?

If g(x) = x2 + 2, find g(3).

The following graph of f(x) = x2 has been shifted into the form f(x) = (x − h)2 + k:

Which graph models the function f(x) = −2(3)x?

If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)?

Which graph represents the function f(x) = (x – 5)2 + 3?

What transformations change the graph of f(x) to the graph of g(x) f(x)=-7x^2 g(x)=-35x^2+5

If f(x) = –x2 + 3x + 5 and g(x) = x2 + 2x, which graph shows the graph of (f + g)(x)?

If f(x) = x2 – 25 and g(x) = x – 5, what is the domain of mc006-1.jpg?

If f(x) = x4 − x3 + x2 and g(x) = −x2, where x ≠ 0, what is (f ⁄g)(x)?

Which graph represents the function f(x) = |x + 3|?

Rewrite f(x) = –(x + 3)2 − 1 from vertex form to standard form.

Rewrite f(x) = 3(x − 2)2 + 1 from vertex form to standard form.

Let g(x) be the reflection of f(x) = x 2 + 3 in the x-axis. what is the function rule for g(x)?

Most viewed questions in Mathematics

Unit 6 similar triangles homework 2 similar figures answer key

All things algebra unit 7 polygons and quadrilaterals answer key

Gina wilson all things algebra 2016 answer key unit 11

Unit 1 geometry basics homework 4 angle addition postulate answers

Unit 6 exponents and exponential functions homework 8 answer key

The manager of a vacation resort believes that the ages

What is 271 403 rounded to the nearest ten thousand

Unit 1 geometry basics homework 3 angle relationships answer key

Homework 2 parallelograms

Why would a prism beat a sphere in a competition?

John wants to send a letter to peter

An artist sells a painting for 20.50 but uses 5.75

Unit 4 congruent triangles homework 1 classifying triangles answer key

Unit 4 congruent triangles homework 2 angles of triangles

Compare the values of the 2s and 5s in 55220