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jholland03
19.12.2020 •
Mathematics
Which quadratic inequality does the graph represent
y <2x^2-8x+3
O y2 2x² + 8x+3
ys2x2 - 8x-3
O v2 2x2 - 8x+3
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Ответ:
Option (1)
Step-by-step explanation:
Equation of a quadratic function,
y = a(x - h)² + k
Here (h, k) is the vertex
From the picture attached,
Vertex of the parabola is (2, -5)
So the equation of the function will be,
y = a(x - 2)² - 5
Since, the graph passes through a point (0, 3)
3 = a(0 - 2)² - 5
3 = 4a - 5
4a = 8
a = 2
Equation will be,
y = 2(x - 2)² - 5
y = 2(x² - 4x + 4) - 5
y = 2x² - 8x + 8 - 5
y = 2x² - 8x + 3
But the shaded area is outside the graph so the quadratic inequality will be,
y ≤ 2x² - 8x + 3
Option (1) will be the answer.
Ответ:
11
Step-by-step explanation:
The sides of each add up and go to the triangle right next to that one and if you add 3+3+2=11