Questions: Question 32, 2.2.45 Part 1 of 2 Give the domain and range of the quadratic function whose graph is described. The vertex is (-6,-3) and the parabola opens up. The domain of f is . (Type your answer in interval notation.)

Question 32, 2.2.45 Part 1 of 2 Give the domain and range of the quadratic function whose graph is described. The vertex is (-6,-3) and the parabola opens up. The domain of f is . (Type your answer in interval notation.)
Transcript text: Question 32, 2.2.45 Part 1 of 2 Give the domain and range of the quadratic function whose graph is described. The vertex is $(-6,-3)$ and the parabola opens up. The domain of $f$ is $\square$ . (Type your answer in interval notation.)
failed

Solution

failed
failed

Solution Steps

Step 1: Identify the Vertex and Direction of Opening

The given vertex is \((h, k) = (-6, -3)\) and the parabola opens up.

Step 2: Determine the Domain and Range

For a vertical parabola that opens up, the domain is always all real numbers, thus \(\text{Domain} = (-∞, ∞)\). The range depends on the direction of opening. Since it opens up, \(\text{Range} = ([-3, ∞))\).

Final Answer:

The domain of the parabola is (-∞, ∞) and the range is ([-3, ∞)), rounded to 0 decimal places if necessary.

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
You can use these measurement to express the velocity of the puck using component form. For example, if you measured the horizontal velocity as 25 cm/s and the vertical velocity as 50 cm/s, you could write the velocity of the puck like this: v x=25 cm/s v y=50 cm/s You can also express the velocity of the puck in angle-magnitude form. This means you state the magnitude, or amount of the quantity, as well as the direction expressed as an angle. In this case, the magnitude is the velocity in meters per second, and the direction is the angle θ in the image above. Here's how. - to find the magnitude, or amount, of the velocity, you can see from the drawing that the length of the velocity arrow is the hypotenuse of the triangle - Use the Pythagorean theorem to calculate the length of the hypotenuse: v=√(v x+v y^2) Make these calculations using the horizontal and vertical velocities you measured, and enter the value of the velocity here. cm/s
failedAnswered
is studying the way a person adapts to his or her surroundings.
failedAnswered
Find the domain and range of the function f(x) = sqrt((x^2 + 3x - 18)/(x - 3)). Express with interval notation, using U for the union of sets and inf for infinity. Domain = Range =
failedAnswered
Which of the following is the best example of a social audit? A. An oil company performs an internal study on how well it is meeting the corporate social responsibility goals it has established. B. The government accesses internal company records to determine if a company is breaking laws. C. An environmental group performs a study on how an oil company is handling the cleanup of an oil spill. D. An external audit researching the ability of a company to operate in an area that is environmentally unsustainable. E. An oil company performs an internal study to determine if the firm can remain profitable after being sued by an environmental group for not properly cleaning up an oil spill.
failedAnswered
2^2/-3=square -(1/2)^3=square