3. Given the expression, H(m) = 28 - 3m² + bm, determine the followinga. The value(s) of b when the discriminant of H(m) is 400.b. If applicable, calculate the value(s) of its root(s).c. The value of the vertical intercept.d. The value for its line of symmetry.e. For your answers from part a to d above, sketch the graph of thefunction H(m).4. Find the inverse of the function, s(t) = √3-t²-6

Given expression Note: According to the guidelines we are allowed to sole three sub parts at a time.…

3. Given the expression, H(m) = 28-3m² + bm, determine the following a. The value(s) of b when the discriminant of H(m) is 400. b. If applicable, calculate the value(s) of its root(s). c. The value of the vertical intercept.

3. Given the expression, H(m) = 28-3m² + bm, determine the following a. The value(s) of b when the discriminant of H(m) is 400. b. If applicable, calculate the value(s) of its root(s). c. The value of the vertical intercept.

Intermediate Algebra

10th Edition

ISBN:9781285195728

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter7: Equations And Inequalities In Two Variables

Section7.1: Rectangular Coordinate System And Linear Equations

Problem 46PS

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3. Given the expression, H(m) = 28 - 3m² + bm, determine the following
a. The value(s) of b when the discriminant of H(m) is 400.
b. If applicable, calculate the value(s) of its root(s).
c. The value of the vertical intercept.
d. The value for its line of symmetry.
e. For your answers from part a to d above, sketch the graph of the
function H(m).
4. Find the inverse of the function, s(t) = √3-t²-6

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Step 2: Finding the value of b

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Step 4: Finding the vertical interception

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