answersLogoWhite

0

The answer depends on the form in which the quadratic function is given.

If it is y = ax2 + bx + c

then the x-coordinate of the turning point is -b/(2a)

User Avatar

Wiki User

11y ago

Still curious? Ask our experts.

Chat with our AI personalities

BeauBeau
You're doing better than you think!
Chat with Beau
JudyJudy
Simplicity is my specialty.
Chat with Judy
TaigaTaiga
Every great hero faces trials, and you—yes, YOU—are no exception!
Chat with Taiga
More answers

On a graph the turning point is the bottom of of the 'bowl' for y = x^(2) + Bx + C

If the graph is of the form y = -x^(2) + Bx + C , then it is 'umbrella' shaped, and the turning point is the top of curve.

Mathemtically for graphs of the form y = ax^(2) + Bx + C

We differentiate and equate to zero.

dy/dx = 2ax +B = 0

Hence the x-coordinate of the turning point is x = -B/2A

This value of 'x' can be substituted into the original ( undifferentiated) equation to find the y-coordinate.

User Avatar

lenpollock

Lvl 16
1w ago
User Avatar

Add your answer:

Earn +20 pts
Q: What is the turning point in the graph of a quadratic function?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Trigonometry

Sketch a Tangent Functions?

A tangent function is a trigonometric function that describes the ratio of the side opposite a given angle in a right triangle to the side adjacent to that angle. In other words, it describes the slope of a line tangent to a point on a unit circle. The graph of a tangent function is a periodic wave that oscillates between positive and negative values. To sketch a tangent function, we can start by plotting points on a coordinate plane. The x-axis represents the angle in radians, and the y-axis represents the value of the tangent function. The period of the function is 2π radians, so we can plot points every 2π units on the x-axis. The graph of the tangent function is asymptotic to the x-axis. It oscillates between positive and negative values, crossing the x-axis at π/2 and 3π/2 radians. The graph reaches its maximum value of 1 at π/4 and 7π/4 radians, and its minimum value of -1 at 3π/4 and 5π/4 radians. In summary, the graph of the tangent function is a wave that oscillates between positive and negative values, crossing the x-axis at π/2 and 3π/2 radians, with a period of 2π radians.


How is quadratic equations used to make a satellite dish?

Satellite dishes are paraboloid in shape - that is, a parabola (a quadratic curve) rotated around its axis. The shape has the property that rays entering it are reflected to its focus of the paraboloid. If the receiver is placed at that point, the signal is picked up from the broadcasting satellite over a wide field of view.


What is a pyramid's apex?

The apex of an object is typically it's highest point, turning point, or climax. There fore the very tip of a pyramid would be its apex as long as you define one side as ground level (The base).


What is the point of graphing a trig function (sin cos etc.)?

The functions are periodic and so, given any value (within the range) the function can take the value several times, Graphing the function can help you determine secondary points at which the function takes a given value.


What is the difference between hydrograph and hyetograph?

A hydrograph and a hyetograph are both graphs that show changes over time, but they represent different types of data. Hydrograph A graph that shows the discharge of a stream or river at a specific point over time. Discharge is the rate of flow, usually measured in cubic meters or cubic feet per second (cms or cfs). Hydrographs can be used to make long-term flood risk forecasts. Hyetograph A graph that shows the amount of water input, such as precipitation or snowmelt, at a specific point over time. Hyetographs can also show rainfall intensity over time. Hyetographs can sometimes be shown on the secondary x- and y-axis of a hydrograph to compare the stream's response to the water input.