Answer:
f(-3) = -9.
Step-by-step explanation:
The equation of the curve in vertex form is:
f(x) = a(x + 3)^2 - 9 a is positive as the parabola opens up.
It passes through the point (1.5, 4), so
4 = a(1.5 + 3)^2 - 9
20.25a = 13
a = 13/20.25
a = 0.6420.
So the equation of the graph is
0.6420(x + 3)^2 - 9.
f(-3) = 0.6420(-3 + 3)^2 - 9
= 0.642*0 - 9.
= -9.
f(-3) = -9.
Step-by-step explanation:
The equation of the curve in vertex form is:
f(x) = a(x + 3)^2 - 9 a is positive as the parabola opens up.
It passes through the point (1.5, 4), so
4 = a(1.5 + 3)^2 - 9
20.25a = 13
a = 13/20.25
a = 0.6420.
So the equation of the graph is
0.6420(x + 3)^2 - 9.
f(-3) = 0.6420(-3 + 3)^2 - 9
= 0.642*0 - 9.
= -9.
parabola is as follows. y = a (x-h) 2 + k or x = a (y-k) 2 + h, where (h, k) indicates the vertex. The parabola is just a U-shaped plane curve. Each point on the parabola is equidistant from a fixed point called the focal point and a fixed straight line called the directrix. Term related to parabola.
The parabola is found in nature or in man-made objects. From pitched baseball lanes to satellite dishes to fountains, this geometry is widely used and is also used to focus light and radio waves. On this page you can find eight parabolic synonyms, annotations, idioms, and related words, such as eccentricity, ellipse, paraboloid, hyperbola, parallelogram, polar coordinates, ellipsoid, and vector field.
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