Question

5. Write the new equation of the parabola y = x^2 if: a) it undergoes a horizontal translation of 3 units left and a vertical translation 4 units down and is congruent to y = 7x^2 5a) b) the parabola opens upwards and is stretched vertically by a factor of 5. 3b)

          5. Write the new equation of the parabola y = x^2 if:
a) it undergoes a horizontal translation of 3 units left and a vertical translation 4 units down and is
congruent to y = 7x^2
5a)
b) the parabola opens upwards and is stretched vertically by a factor of 5.
3b)

5. Write the new equation of the parabola y = x^2 if:
a) it undergoes a horizontal translation of 3 units left and a vertical translation 4 units down and is
congruent to y = 7x^2
5a)
b) the parabola opens upwards and is stretched vertically by a factor of 5.
3b)

Added by Caitlin V.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Nicole Hoffman

04/14/2022

Step 1

To translate it 3 units left and 4 units down, we use the formula y = a(x - h)^2 + k, where (h, k) is the vertex of the parabola. ** Show more…

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Write the new equation of the parabola y = x^2 if: a) it undergoes a horizontal translation of 3 units left and a vertical translation 4 units down and is congruent to y = 7x^2 5a) b) the parabola opens upwards and is stretched vertically by a factor of 5. 3b)