Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

The graph shown could represent which of the following equ Choose 1 answer: (A) h=-(b-10)(b-20)(b+20) (B) h=(b-10)(b-20)(b+20) (C) h=-(b+10)(b-20)(b+20) (D) h=(b+10)(b-20)(b+20)

The graph shown could represent which of the following equ\newlineChoose 11 answer:\newline(A) h=−(b−10)(b−20)(b+20) h=-(b-10)(b-20)(b+20) \newline(B) h=(b−10)(b−20)(b+20) h=(b-10)(b-20)(b+20) \newline(C) h=−(b+10)(b−20)(b+20) h=-(b+10)(b-20)(b+20) \newline(D) h=(b+10)(b−20)(b+20) h=(b+10)(b-20)(b+20)

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Find the vertex of the transformed functionright chevron icon

Full solution

Q. The graph shown could represent which of the following equ\newlineChoose 11 answer:\newline(A) h=−(b−10)(b−20)(b+20) h=-(b-10)(b-20)(b+20) \newline(B) h=(b−10)(b−20)(b+20) h=(b-10)(b-20)(b+20) \newline(C) h=−(b+10)(b−20)(b+20) h=-(b+10)(b-20)(b+20) \newline(D) h=(b+10)(b−20)(b+20) h=(b+10)(b-20)(b+20)
  1. Look at the graph: Look at the graph to determine the number of roots and their signs.
  2. Identify roots: If the graph crosses the x-axis at b=10b=10, b=20b=20, and b=−20b=-20, then the roots are b=10b=10, b=20b=20, and b=−20b=-20.
  3. Write factors: Write the factors based on the roots: (b−10)(b-10), (b−20)(b-20), and (b+20)(b+20).
  4. Determine leading coefficient sign: Determine the sign of the leading coefficient by observing the end behavior of the graph.
  5. Observe end behavior: If the graph opens downwards, the leading coefficient is negative. If it opens upwards, the leading coefficient is positive.

More problems from Find the vertex of the transformed function

Question
Solve by completing the square.\newlinem2−10m−29=0m^2 - 10m - 29 = 0\newlineWrite your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.\newline`m` = ____ or `m` = _____
Get tutor helpright-arrow

Posted 1 month ago

Question
Find g(x) g(x) , where g(x) g(x) is the translation 5 5 units up of f(x)=x2 f(x)=x^2 .\newlineWrite your answer in the form a(x–h)2+k a(x–h)^2+k , where a a , h h , and k k are integers.\newlineg(x)= g(x)= ____
Get tutor helpright-arrow

Posted 1 month ago

Question
What is the range of this quadratic function?\newliney=x2−4x+4y = x^2 - 4x + 4\newlineChoices:\newline{y∣y≥2}\left\{y \mid y \geq 2\right\}\newline{y∣y≤0}\left\{y \mid y \leq 0\right\}\newline{y∣y≥0}\left\{y \mid y \geq 0\right\}\newlineall real numbers\text{all real numbers}
Get tutor helpright-arrow

Posted 1 month ago

Question
Write the equation of the parabola that passes through the points (1,0)(1,0), (2,0)(2,0), and (3,–16)(3,\text{–}16). Write your answer in the form y=a(x–p)(x–q)y = a(x – p)(x – q), where aa, pp, and qq are integers, decimals, or simplified fractions.\newline______
Get tutor helpright-arrow

Posted 1 month ago

Question
Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.\newlinef2+8f+_____f^2 + 8f + \_\_\_\_\_
Get tutor helpright-arrow

Posted 1 month ago

Question
Solve for h h .\newlineh2+39h=0 h^2 + 39h = 0 \newline\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.\newlineh= h = ____\newline
Get tutor helpright-arrow

Posted 1 month ago

Question
Write a quadratic function with zeros −9-9 and −7-7.\newlineWrite your answer using the variable xx and in standard form with a leading coefficient of 11.\newlinef(x)=_____f(x) = \_\_\_\_\_
Get tutor helpright-arrow

Posted 2 months ago

Question
Find the equation of the axis of symmetry for the parabola y=x2y = x^2. \newlineSimplify any numbers and write them as proper fractions, improper fractions, or integers.\newline‾\underline{\hspace{3cm}}
Get tutor helpright-arrow

Posted 2 months ago

Question
Find g(x)g(x), where g(x)g(x) is the translation 88 units up of f(x)=x2f(x) = x^2.\newlineWrite your answer in the form a(x–h)2+ka(x – h)^2 + k, where aa, hh, and kk are integers.\newlineg(x)=g(x) = ______\newline
Get tutor helpright-arrow

Posted 2 months ago

Question
Solve for xx.\newlinex2=1x^2 = 1\newline\newlineWrite your answer in simplified, rationalized form.\newlinex=x = ______ or x=x = ______\newline
Get tutor helpright-arrow

Posted 2 months ago

View all (169)