Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Experience the convenience of getting accurate answers to your questions from a dedicated community of professionals. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
Sagot :
Answer:
D.
Step-by-step explanation:
Standard Form (Quadratic): [tex]y=ax^2+bx+c[/tex]
Vertex Form (Quadratic): [tex]y=a(x-h)^2+k[/tex]
Intercept Form (Quadratic): [tex]y=a(x-p)(x-q)[/tex]
p,q are x-intercepts
x-intercepts given in graph: -2,4
[tex]y=a[x-(-2)](x-4)[/tex]
eqn 1: [tex]y=a(x+2)(x-4)[/tex]
Plug in the given point to find 'a' : (3,-5)
[tex]-5=a(3+2)(3-4)[/tex]
[tex]-5=a(5)(-1)[/tex]
[tex]1=a[/tex]
Substitute 'a' in to eqn 1.
[tex]y=1(x+2)(x-4)[/tex]
eqn 2: [tex]y=(x+2)(x-4)[/tex]
Expand eqn 2. (can use FOIL)
[tex]y=x^2-2x-8[/tex]
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.