Question: Express the equation in vertex form and sketch the graph.y = - 4 x 2 - 5 x + 3 A ) y = - 4[ x + (5 8 )]2 + (7 3 1 6 ); Graph 4 B ) y = - 4[ x + (5 8 )]2 + (7 3 1 6 ); Graph 1 C ) y = 4[ x + (5 8 )]2 - (7 3 1 6 ); Graph 2 D ) y = 4[ x - (5 8 ) ]2 - (7 3 1 6 ); Graph 3 Steps to derive 1 y = - 4x 2 - 5x + 32 y = - 4{x 2 + (5 4 )x } + 3 [Take out the common factor.]3 y = - 4{x 2 + (5 4 )x + (25 64 ) - (25 64 )} + 3 [Add and subtract [5 4 2 ]2 = (5 8 )2 = 25 64 inside the brackets.]4 y = - 4[ x 2 + (5 4 )x + (25 64 )] + (25 16 ) + 3 [Rewrite the equation.]5 y = - 4[ x + (5 8 )]2 + (73 16 ) [Simplify.]6 The vertex is (- 5 8 , 73 16 ).
The axis of symmetry is the line with the equation x = - 5 8 .7 Plot the vertex and draw the axis of symmetry.8 Find another point.9 When x = 0, y = - 4[ 0 + (5 8 )]2 + (73 16 ) = (- 25 16 ) + (73 16 ) = 3.
The point is (0, 3).10 The reflection of (0, 3) is (- 5 4 , 3).
Plot it.11 Connect the points with a smooth curve.Hence the right answer is Option A Click Here To Go Back Few Other Questions - The triangles shown are congruent. Find the measures of angles XYZ and XZY... The bar graph shows the number of flower shows arranged each month from January to August... Which of the figures are congruent?.. Name the congruent figures... Which of the figures are similar?.. The table shows the fat content in various food items. Pick an appropriate bar graph for t.. Which of the figures are similar?.. What are the measures of ∠P, ∠Q, and ∠R, if ABC is an equilateral triangle and.. How many lines can be drawn passing through two points?.. Name the figures that are not congruent... ΔABC and ΔDEF are congruent, m∠B = 90°, and m∠A = 30°. What is.. Identify the three collinear points from the diagram... Are the two figures congruent?.. Which of the figures are not congruent?.. Identify a pair of parallel lines on the diagram shown... 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