Algebra House
  • Ask a Question
    • Answered Questions
  • Examples
  • State Test Practice
    • Algebra 1 State Test Practice
    • Geometry State Test Practice
  • ACT and SAT
  • Calculators
    • Problem Solver
    • Graphing Calculator
    • 3D Graphing Calculator
  • Contact
    • Contact Algebra House
    • Leave a Tip


​Answered Questions

Which quadratic function, in vertex form, can be represented by the graph?

2/5/2021

0 Comments

 
Which quadratic function in vertex form can be represented by the graph that has a vertex at (3, -7) and passes through the point (1, -10)?

f(x) = a(x - h)² + k is vertex form
(h,k) are the coordinates of the vertex


Substitute (3,-7)in for h and k, and substitute (1,-10) in for x and y, in order to determine what a is.

-10 = a(1 - 3)² + (-7) {substituted vertex and x,y coordinates in}
-10 = a(-2)² - 7 {subtracted in parentheses}
-10 = 4a - 7 {squared the -2}
-3 = 4a {added 7 to each side}
a = -3/4 {divided each side by -3}

Substitute -3/4 back in for a, along with 3 for h, and -7 for k, into vertex form.

f(x) = (-3/4)(x - 3)² - 7 {substituted back into vertex form}
Picture
Ask the House
​
0 Comments

Your comment will be posted after it is approved.


Leave a Reply.

    Ask a Question
    Leave a Tip

    Archives

    February 2021
    January 2021
    December 2020
    November 2020
    October 2020
    September 2020
    August 2020

Algebra House
  • Ask a Question
    • Answered Questions
  • Examples
  • State Test Practice
    • Algebra 1 State Test Practice
    • Geometry State Test Practice
  • ACT and SAT
  • Calculators
    • Problem Solver
    • Graphing Calculator
    • 3D Graphing Calculator
  • Contact
    • Contact Algebra House
    • Leave a Tip