Can someone help me some this
2 answers:
Answer:
Step-by-step explanation:
vertex form of parabola: y = a(x - h)² + k
where (h, k) is the vertex
Given vertex = (4, -2) :
⇒ y = a(x - 4)² - 2
Given y-intercept = (0, 6) substitute values into equation and solve for a:
⇒ 6 = a(0 - 4)² - 2
⇒ 6 = 16a - 2
⇒ 16a = 8
⇒ a = 1/2
Therefore, equation of parabola:
⇒ y = 1/2(x - 4)² - 2
⇒ y = 1/2(x² - 8x + 16) - 2
⇒ y = (1/2)x² - 4x + 6
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F(x)=-1x-1
1) Pick 2 points on the line (i chose (-4,3) and (3,-4)
2) Find slope of the line using the 2 points. (work below)
3) Find y-intercept, which is the point where y-axis and the line cross (y-intercept is -1).
4) Place both slope and y-intercept into slope-intercept form, y=mx+b (m=slope and b=y-intercept.)
5) Change y to f(x) (meaning function of x).
Work:
3-(-4)/-4-3=3+4/-4-3=7/-7=-1
y-intercept equals -1 also.
y=mx+b
y=-1x+(-1)
y=-1x-1
f(x)=-1x-1<---Answer
1) Pick 2 points on the line (i chose (-4,3) and (3,-4)
2) Find slope of the line using the 2 points. (work below)
3) Find y-intercept, which is the point where y-axis and the line cross (y-intercept is -1).
4) Place both slope and y-intercept into slope-intercept form, y=mx+b (m=slope and b=y-intercept.)
5) Change y to f(x) (meaning function of x).
Work:
3-(-4)/-4-3=3+4/-4-3=7/-7=-1
y-intercept equals -1 also.
y=mx+b
y=-1x+(-1)
y=-1x-1
f(x)=-1x-1<---Answer