Consider the graph of the quadratic function f(x)=2x^2-4x-7 Find: (a) the vertex, (b) the axis of symmetry. (c) the y-intercept, and (d) the x-intercepts, if any Round to two decimal places as needed. Type NA if none ex Provide your answer below: (a) the vertex= (Write as an ordered pair) (b) the axis of symmetry is the line x= (c) The y-intercept is found at y= (d) The x-intercept is found at x=

Question

Answer 1

### (a) the vertex = (1, -9)### (b) the axis of symmetry is the line

### (c) The y-intercept is found at

### (d) The x-intercepts are found at

and

Answer 2

## Step 1: Find the vertex### The vertex of a quadratic function

is given by the formula

. For

,

, and

. Calculate

and then find

.

Thus, the vertex is

.## Step 2: Find the axis of symmetry### The axis of symmetry for a quadratic function

is the vertical line

. From Step 1, we have

.

## Step 3: Find the y-intercept### The y-intercept is found by evaluating

at

. For

:

Thus, the y-intercept is

.## Step 4: Find the x-intercepts### The x-intercepts are found by solving the equation

. Use the quadratic formula

:

Thus, the x-intercepts are approximately:

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