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MATH / A parabola has vertex of (4,−5) and has two x-intercepts, one positive, and one negative. If this parabola is the graph of y=ax²+bx+c, which of a, b, and c must be positive? Enter …

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problem

A parabola has vertex of (4,−5)(4,-5) and has two xx-intercepts, one positive, and one negative. If this parabola is the graph of y=ax2+bx+c,y = ax^2 + bx + c, which of a,a, b,b, and cc must be positive? Enter the coefficients that must be positive, separated by commas. For example, if you think aa and cc must be positive, enter "a,a, cc", without the quotation marks.
Plain-text mathematical notation (without MathML)
A parabola has vertex of (4,−5) and has two x-intercepts, one positive, and one negative.  If this parabola is the graph of y=ax²+bx+c, which of a, b, and c must be positive?

Enter the coefficients that must be positive, separated by commas.  For example, if you think a and c must be positive, enter "a, c", without the quotation marks.
Original LaTeX notation
A parabola has vertex of $(4,-5)$ and has two $x$-intercepts, one positive, and one negative.  If this parabola is the graph of $y = ax^2 + bx + c,$ which of $a,$ $b,$ and $c$ must be positive?

Enter the coefficients that must be positive, separated by commas.  For example, if you think $a$ and $c$ must be positive, enter "$a,$ $c$", without the quotation marks.

level

Level 4

type

Intermediate Algebra

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Source and history

task_id
540fb708-b929-5632-9039-137bdb303a27
task_key
intermediate~5falgebra--test--540fb708-b929-5632-9039-137bdb303a27
task_revision_id
1
config / split
intermediate_algebra / test

Official source

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