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Chapter 5: Find the vertex,
x-intercept, y-intercept and the line of
symmetry of the Quadratic functions
and use the graphs to describe them
completely. Use the list of attributes
for describing graphs.
y= x2 – 2x – 15

Respuesta :

Answer:

See below

Step-by-step explanation:

X-intercepts

[tex]f(x)=x^2-2x-15[/tex]

[tex]0=x^2-2x-15[/tex]

[tex]0=(x-5)(x+3)[/tex]

[tex]x=5[/tex] and [tex]x=-3[/tex]

[tex](5,0)[/tex] and [tex](-3,0)[/tex]

Y-intercept:

[tex]f(x)=x^2-2x-15[/tex]

[tex]f(0)=0^2-2(0)-15[/tex]

[tex]f(0)=0-0-15[/tex]

[tex]f(0)=-15[/tex]

[tex]y=-15[/tex]

[tex](0,-15)[/tex]

Vertex:

[tex]f(x)=x^2-2x-15[/tex]

[tex]f(x)=x^2-2x+(1-16)[/tex]

[tex]f(x)=x^2-2x+1-16[/tex]

[tex]f(x)=(x^2-2x+1)-16[/tex]

[tex]f(x)=(x-1)^2-16[/tex]

[tex]f(x)=(x-h)^2+k[/tex]

[tex](h,k)[/tex]

[tex](1,-16)[/tex]

Line of Symmetry:

[tex]x=h[/tex]

[tex]x=1[/tex]

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