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:

My IXL Learning Assessment Analyt Y. 11 Write a quadratic function from its vertex and another point YGV A parabola opening up or down has vertex (-2,0) and passes through (-3,(1)/(4)). Write equation in vertex form. Simplify any fractions. Submit Work it out Not feeling ready yet? These can help: 4 Graph quadratic functions in vertex form (83) I. Solve two-step linear

My IXL\newlineLearning\newlineAssessment\newlineAnalyt\newlineY. 1111 Write a quadratic function from its vertex and another point YGV\newlineA parabola opening up or down has vertex (−2,0) (-2,0) and passes through (−3,14) \left(-3, \frac{1}{4}\right) . Write equation in vertex form.\newlineSimplify any fractions.\newlineSubmit\newlineWork it out\newlineNot feeling ready yet? These can help:\newline44\newlineGraph quadratic functions in vertex form\newline(83) (83) \newlineI.\newlineSolve two-step linear

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Write a quadratic function from its vertex and another pointright chevron icon

Full solution

Q. My IXL\newlineLearning\newlineAssessment\newlineAnalyt\newlineY. 1111 Write a quadratic function from its vertex and another point YGV\newlineA parabola opening up or down has vertex (−2,0) (-2,0) and passes through (−3,14) \left(-3, \frac{1}{4}\right) . Write equation in vertex form.\newlineSimplify any fractions.\newlineSubmit\newlineWork it out\newlineNot feeling ready yet? These can help:\newline44\newlineGraph quadratic functions in vertex form\newline(83) (83) \newlineI.\newlineSolve two-step linear
  1. Vertex form of parabola: Vertex form of a parabola: y=a(x−h)2+ky = a(x - h)^2 + k. Given vertex (h,k)=(−2,0)(h, k) = (-2, 0), so the equation becomes y=a(x+2)2y = a(x + 2)^2.
  2. Use point to find aa: Use the point (−3,14)(-3, \frac{1}{4}) to find the value of aa. Substitute x=−3x = -3 and y=14y = \frac{1}{4} into the equation: 14=a(−3+2)2\frac{1}{4} = a(-3 + 2)^2.
  3. Simplify equation: Simplify the equation: 14=a(−1)2\frac{1}{4} = a(-1)^2. 14=a(1)\frac{1}{4} = a(1).
  4. Solve for a: Solve for a: a=14a = \frac{1}{4}.

More problems from Write a quadratic function from its vertex and another point

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 (15)