MTH1010_05_10_4

Question

MTH1010_05_10_4

BlackTom AI · Accepted Answer

To identify the correct function from the graph, first note the key features of the parabola: it opens upward (since the ends go up), and its vertex (the minimum point) appears to be at x = 1 with y = 2. This means the quadratic has the form f(x) = (x - h)^2 + k with h = 1 and k = 2, i.e., f(x) = (x - 1)^2 + 2.

Option a: f(x) = (x - 2)^2 + 1 places the vertex at (2, 1). That does not match the graph's vertex location (1, 2), so this is incorrect.

Option b: f(x) = (x + 2)^2 + 1 has its vertex at (-2, 1). This is far from the observed vertex and therefore incorrect.

Option c: f(x) = (x - 1)^2 + 2 puts the vertex at (1, 2), which aligns with the graph’s minimum point. Additionally, evaluating at x = 0 gives f(0) = (-1)^2 + 2 = 3, consistent with the graph's y-value when x = 0.

Option d: f(x) = (x + 1)^2 + 2 has a vertex at (-1, 2). Since the graph’s vertex is at (1, 2), this option does not fit.

In summary, options a, b, and d place the vertex at locations that do not match the graph, while option c matches both the vertex location and the corresponding y-values shown on the graph.

MCD2130 - T2 - 2025 6.8 Online Quiz MCD2130_QUIZ_FIVE Polynomials and Rational Functions

MTH1010_05_10_4

查看解析

登录即可查看完整答案

类似问题

Quadratic Function For the function defined by , find the following values. Simply your answers. [Fill in the blank] [Fill in the blank] [Fill in the blank] [Fill in the blank]

Let be a quadratic function. Suppose we have given the following information: and . Which of the following answers are correct (Please note that exactly two are correct). If you cannot find the formula of the function, you still can find the shape of its graph by using a graphical argument.

An equation of the graph shown could be:

The graph of [math: y] versus [math: x2] x^2 is shown. The rule connecting [math: y] and [math: x] is :

MTH1010_05_04_1

Apply your understanding of quadratic functions and transformations, and sketch: 𝑦 = 0.25 ( 𝑥 + 6 ) 2 − 4 In this quiz, type the y-intercept in the box. AND Sketch on paper. Label the vertex and the intercepts, with their coordinates. (Answer in quiz: 1 mark) (Written answer: 2 marks)

更多留学生实用工具

考试浏览器助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单