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OlympiadBench / 2280 / The parabola with equation y=−2x²+4x+c has vertex V(1,18). The parabola…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

answer type

Numerical

is multiple answer

false

language

English

question

The parabola with equation

y=-2 x^{2}+4 x+c

has vertex

V(1,18)

. The parabola intersects the

y

-axis at

D

and the

x

-axis at

E

and

F

. Determine the area of

\triangle D E F

Plain-text mathematical notation (without MathML)

The parabola with equation y=−2x²+4x+c has vertex V(1,18). The parabola intersects the y-axis at D and the x-axis at E and F. Determine the area of △DEF.

Original LaTeX notation

The parabola with equation $y=-2 x^{2}+4 x+c$ has vertex $V(1,18)$. The parabola intersects the $y$-axis at $D$ and the $x$-axis at $E$ and $F$. Determine the area of $\triangle D E F$.

question type

Open-ended

subject

Math

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Source and history

upstream_id / Original problem ID: 2280
task_id: 6ddcd02b-0fd3-5aae-b5e1-2b3f3182f577
task_key: OE~5fTO~5fmaths~5fen~5fCOMP--train--2280
task_revision_id: 1
config / split: OE_TO_maths_en_COMP / train

Official source

initial import