Hi yessi it me can u see this
2 answers:
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Answer:
7
Step-by-step explanation:
The function can be written in vertex form as ...
f(x) = -(x +1)^2 +7
The vertex is then identifiable as (-1, 7). The y-coordinate is 7.
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Vertex form is ...
f(x) = a(x -h)^2 +k
where "a" is the vertical scale factor, and (h, k) is the vertex point. It is convenient to arrive at this form by factoring "a" from the first two terms, then adding and subtracting the square of the remaining x-coefficient inside and outside parentheses.
f(x) = -(x^2 +2x) +6
f(x) = -(x^2 +2x +1) + 6 -(-1) . . . . completing the square
f(x) = -(x +1)^2 +7 . . . . . . . . . . . . vertex form; a=-1, (h, k) = (-1, 7)
Answer:
a, c) see below
b) trapezoid
d) 80 square units
Step-by-step explanation:
a, b, c) See the attached plot. The different-length horizontal bases make this a trapezoid.
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d) The area of the original is ...
A = (1/2)(b1 +b2)h = (1/2)(1+4)(2) = 5
Dilation by a factor of 4 multiplies the area by a factor of 4² = 16.
The area of the larger trapezoid is ...
5 × 16 = 80 . . . . square units
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Of course, you can use the area formula, too:
A = (1/2)(b1 +b2)h = (1/2)(4 +16)(8) = 80 . . . . square units
