You can try the ac method.
1. Try to factor a common factor from all terms.
2. Multiply ac.
3. Find two factors of ac that add to b, call them p and q.
4. Rewrite the trinomial with the bx term broken up into into px + qx.
5. Factor by grouping.
Answer:
3x + 6y
Step-by-step explanation:
CLT
<em><u>9</u></em><em><u>x</u></em><em><u>-</u></em><em><u>7</u></em><em><u>x</u></em><em><u>+</u></em><em><u>x</u></em><em><u>+</u></em><em><u>3</u></em><em><u>y</u></em><em><u>-</u></em><em><u>2</u></em><em><u>y</u></em><em><u>+</u></em><em><u>5</u></em><em><u>y</u></em>
<em><u>3</u></em><em><u>x</u></em><em><u>+</u></em><em><u>6</u></em><em><u>y</u></em>
Answer:
(-2, 10)
Step-by-step explanation:
Right 4 units means add 4 units to the x axis value, which is negative 2. So -6+4 is -2. Up 2 units means add 2 units to the y axis value, which is 8. If we add 2 to 8, we get 10. So our new value is (-2,10)
so h = 7, k = -2, meaning the vertex is at (7, -2).
the squared variable is the "y", meaning is a horizontal parabola.
the "p" distance is negative, for a horizontal parabola that means, it's opening towards the left-hand-side.
we know the focus and directrix are "p" units away from the vertex, and we know the parabola is opening horizontally towards the left-hand-side.
the focus is towards it opens 1 unit away, at (6, -2).
the directrix is on the opposite direction, 1 unit away, at (8, -2), namely x = 8.