Writing Quadratic Equations

Write an equation in Factored Form, whose x intercepts are 7 and 3.

• y = (x - 7)(x - 3)

• y = (x + 7)(x + 3)

• y = (x + 7)(x - 3)

• y = (x - 7)(x + 3)

Write an equation in Factored Form, whose x intercepts are -7 and -3.

• y = (x - 7)(x - 3)

• y = (x + 7)(x + 3)

• y = (x + 7)(x - 3)

• y = (x - 7)(x + 3)

Which of these equations has a y intercept of -2 .

What are the x-intercepts for the graph?

• (0,-3) (0,2)

• (-3,0) (2,0)

• (3,0) (-2,0)

• (0, -6)

Write the equation for the graph in factored form.

•  $y=\left(x+3\right)\left(x-2\right)$ 

•  $y=\left(x-3\right)\left(x+2\right)$ 

Tags

CCSS.HSF-IF.C.7A

Which equation is CORRECT for the graph?

• $y=\left(x-1\right)\left(x+2\right)$

• $y=\left(x-1\right)\left(x-2\right)$

• $y=\left(x+1\right)\left(x+2\right)$

• $y=\left(x+1\right)\left(x-2\right)$

Tags

CCSS.HSF-IF.C.7A

Which of the follow Quadratic equations in Standard Form has a vertex of (5,-4) ? (hint: factor to find your x-intercepts, and find the axis of symmetry to find your vertex)

Answer explanation

The x intercepts are 7 and 3, which you find by factoring and using the zpp.

Halfway between 7 and 3 is 5. That means that 5 is the x value of your vertex.

To find the y value of your vertex, plug 5 into the original equation, which will give you -4.

Write the equation for the graph in factored form.

•  $y=\left(x-3\right)\left(x+4\right)$ 

•  $y=\left(x+3\right)\left(x-4\right)$ 

•  $y=\left(x+3\right)\left(x-3\right)$  

•  $y=\left(x+4\right)\left(x-4\right)$  

Tags

CCSS.HSF-IF.C.7A

Which of the following equations matches vertex/graphing form of a quadratic?

• ax + by = c

• y = a(x - h)² + k

• y = ax² + bx + c

• y = mx + b

What piece of information does h identify in the following equation?
y=a(x-h)²+k

• y value of the vertex

• x value of the vertex

• Direction (facing up or down)

• x-intercept